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Finding the Fourth Proportional to 9,920.31, 14,881.02 and 2,524.83

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Solution

The fourth proportional to 9,920.31, 14,881.02 and 2,524.83 is: 3,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.31 : 14,881.02 = 2,524.83 : x
  2. Step 2: Convert to fraction form
    9,920.31/14,881.02 = 2,524.83/x
  3. Step 3: Cross multiply
    9,920.31x = 14,881.02 × 2,524.83
  4. Step 4: Simplify right side
    9,920.31x = 37,572,045.73
  5. Step 5: Solve for x
    x = 37,572,045.73/9,920.31
  6. Step 6: Final answer
    x = 3,787.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.