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Finding the Fourth Proportional to 9,902.92, 13,666.12 and 5,427.10

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Solution

The fourth proportional to 9,902.92, 13,666.12 and 5,427.10 is: 7,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.92 : 13,666.12 = 5,427.10 : x
  2. Step 2: Convert to fraction form
    9,902.92/13,666.12 = 5,427.10/x
  3. Step 3: Cross multiply
    9,902.92x = 13,666.12 × 5,427.10
  4. Step 4: Simplify right side
    9,902.92x = 74,167,399.85
  5. Step 5: Solve for x
    x = 74,167,399.85/9,902.92
  6. Step 6: Final answer
    x = 7,489.45

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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.