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Finding the Fourth Proportional to 6,602.66, 9,907.71 and 2,709.80

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Solution

The fourth proportional to 6,602.66, 9,907.71 and 2,709.80 is: 4,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.66 : 9,907.71 = 2,709.80 : x
  2. Step 2: Convert to fraction form
    6,602.66/9,907.71 = 2,709.80/x
  3. Step 3: Cross multiply
    6,602.66x = 9,907.71 × 2,709.80
  4. Step 4: Simplify right side
    6,602.66x = 26,847,912.56
  5. Step 5: Solve for x
    x = 26,847,912.56/6,602.66
  6. Step 6: Final answer
    x = 4,066.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.