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Finding the Fourth Proportional to 9,531.33, 14,294.42 and 3,983.52

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Solution

The fourth proportional to 9,531.33, 14,294.42 and 3,983.52 is: 5,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.33 : 14,294.42 = 3,983.52 : x
  2. Step 2: Convert to fraction form
    9,531.33/14,294.42 = 3,983.52/x
  3. Step 3: Cross multiply
    9,531.33x = 14,294.42 × 3,983.52
  4. Step 4: Simplify right side
    9,531.33x = 56,942,088.04
  5. Step 5: Solve for x
    x = 56,942,088.04/9,531.33
  6. Step 6: Final answer
    x = 5,974.20

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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.