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Finding the Fourth Proportional to 9,938.52, 13,715.50 and 5,462.68

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Solution

The fourth proportional to 9,938.52, 13,715.50 and 5,462.68 is: 7,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.52 : 13,715.50 = 5,462.68 : x
  2. Step 2: Convert to fraction form
    9,938.52/13,715.50 = 5,462.68/x
  3. Step 3: Cross multiply
    9,938.52x = 13,715.50 × 5,462.68
  4. Step 4: Simplify right side
    9,938.52x = 74,923,387.54
  5. Step 5: Solve for x
    x = 74,923,387.54/9,938.52
  6. Step 6: Final answer
    x = 7,538.69

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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.