According to the topic "The proportion of participants in China Cup and Hope Cup is 3: 2 = 6: 4" and the proportion of participants in Imagination Cup and Hope Cup is 5: 4 ",

Suppose there are 4x participants in Hope Cup, 6x participants in China Cup, 5x participants in Imagination Cup and 6x+4 participants in Olympic Games. According to the meaning of the question, we can get the equation:

2(4x-2)=6x+4+2，

8x-4=6x+6，

2x= 10，

x=5，

Then the original participants of the Hope Cup are: 4×5=20 (people),

China Cup has 6×5=30 participants.

The participants in the Imagination Cup are: 5×5=25 (people),

The number of participants in the Olympic Games is 6×5+4=34 (people).

So there are 20+30+34+25= 109 (people) participating in the competition;

A: 65,438+009 people participated in the competition.