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Finding the Fourth Proportional to 9,634.47, 14,446.22 and 3,787.89

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Solution

The fourth proportional to 9,634.47, 14,446.22 and 3,787.89 is: 5,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.47 : 14,446.22 = 3,787.89 : x
  2. Step 2: Convert to fraction form
    9,634.47/14,446.22 = 3,787.89/x
  3. Step 3: Cross multiply
    9,634.47x = 14,446.22 × 3,787.89
  4. Step 4: Simplify right side
    9,634.47x = 54,720,673.34
  5. Step 5: Solve for x
    x = 54,720,673.34/9,634.47
  6. Step 6: Final answer
    x = 5,679.68

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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.