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Finding the Fourth Proportional to 9,497.31, 13,105.16 and 5,248.12

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Solution

The fourth proportional to 9,497.31, 13,105.16 and 5,248.12 is: 7,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.31 : 13,105.16 = 5,248.12 : x
  2. Step 2: Convert to fraction form
    9,497.31/13,105.16 = 5,248.12/x
  3. Step 3: Cross multiply
    9,497.31x = 13,105.16 × 5,248.12
  4. Step 4: Simplify right side
    9,497.31x = 68,777,411.76
  5. Step 5: Solve for x
    x = 68,777,411.76/9,497.31
  6. Step 6: Final answer
    x = 7,241.78

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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.