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Finding the Fourth Proportional to 9,542.31, 13,166.02 and 5,715.20

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Solution

The fourth proportional to 9,542.31, 13,166.02 and 5,715.20 is: 7,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.31 : 13,166.02 = 5,715.20 : x
  2. Step 2: Convert to fraction form
    9,542.31/13,166.02 = 5,715.20/x
  3. Step 3: Cross multiply
    9,542.31x = 13,166.02 × 5,715.20
  4. Step 4: Simplify right side
    9,542.31x = 75,246,477.56
  5. Step 5: Solve for x
    x = 75,246,477.56/9,542.31
  6. Step 6: Final answer
    x = 7,885.57

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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.