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Finding the Fourth Proportional to 9,938.65, 13,716.21 and 5,463.27

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Solution

The fourth proportional to 9,938.65, 13,716.21 and 5,463.27 is: 7,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.65 : 13,716.21 = 5,463.27 : x
  2. Step 2: Convert to fraction form
    9,938.65/13,716.21 = 5,463.27/x
  3. Step 3: Cross multiply
    9,938.65x = 13,716.21 × 5,463.27
  4. Step 4: Simplify right side
    9,938.65x = 74,935,358.61
  5. Step 5: Solve for x
    x = 74,935,358.61/9,938.65
  6. Step 6: Final answer
    x = 7,539.79

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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.