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Finding the Fourth Proportional to 9,864.74, 13,614.11 and 5,617.18

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Solution

The fourth proportional to 9,864.74, 13,614.11 and 5,617.18 is: 7,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.74 : 13,614.11 = 5,617.18 : x
  2. Step 2: Convert to fraction form
    9,864.74/13,614.11 = 5,617.18/x
  3. Step 3: Cross multiply
    9,864.74x = 13,614.11 × 5,617.18
  4. Step 4: Simplify right side
    9,864.74x = 76,472,916.41
  5. Step 5: Solve for x
    x = 76,472,916.41/9,864.74
  6. Step 6: Final answer
    x = 7,752.15

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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.