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Finding the Fourth Proportional to 9,016.31, 12,442.82 and 5,038.61

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Solution

The fourth proportional to 9,016.31, 12,442.82 and 5,038.61 is: 6,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.31 : 12,442.82 = 5,038.61 : x
  2. Step 2: Convert to fraction form
    9,016.31/12,442.82 = 5,038.61/x
  3. Step 3: Cross multiply
    9,016.31x = 12,442.82 × 5,038.61
  4. Step 4: Simplify right side
    9,016.31x = 62,694,429.87
  5. Step 5: Solve for x
    x = 62,694,429.87/9,016.31
  6. Step 6: Final answer
    x = 6,953.44

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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.