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Finding the Fourth Proportional to 9,935.57, 13,711.34 and 5,459.43

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Solution

The fourth proportional to 9,935.57, 13,711.34 and 5,459.43 is: 7,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.57 : 13,711.34 = 5,459.43 : x
  2. Step 2: Convert to fraction form
    9,935.57/13,711.34 = 5,459.43/x
  3. Step 3: Cross multiply
    9,935.57x = 13,711.34 × 5,459.43
  4. Step 4: Simplify right side
    9,935.57x = 74,856,145.53
  5. Step 5: Solve for x
    x = 74,856,145.53/9,935.57
  6. Step 6: Final answer
    x = 7,534.16

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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.