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Finding the Fourth Proportional to 9,565.66, 14,349.32 and 2,640.16

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Solution

The fourth proportional to 9,565.66, 14,349.32 and 2,640.16 is: 3,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.66 : 14,349.32 = 2,640.16 : x
  2. Step 2: Convert to fraction form
    9,565.66/14,349.32 = 2,640.16/x
  3. Step 3: Cross multiply
    9,565.66x = 14,349.32 × 2,640.16
  4. Step 4: Simplify right side
    9,565.66x = 37,884,500.69
  5. Step 5: Solve for x
    x = 37,884,500.69/9,565.66
  6. Step 6: Final answer
    x = 3,960.47

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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.