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Finding the Fourth Proportional to 6,929.74, 9,565.32 and 5,516.02

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Solution

The fourth proportional to 6,929.74, 9,565.32 and 5,516.02 is: 7,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.74 : 9,565.32 = 5,516.02 : x
  2. Step 2: Convert to fraction form
    6,929.74/9,565.32 = 5,516.02/x
  3. Step 3: Cross multiply
    6,929.74x = 9,565.32 × 5,516.02
  4. Step 4: Simplify right side
    6,929.74x = 52,762,496.43
  5. Step 5: Solve for x
    x = 52,762,496.43/6,929.74
  6. Step 6: Final answer
    x = 7,613.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.