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Finding the Fourth Proportional to 9,531.71, 14,294.98 and 3,983.88

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Solution

The fourth proportional to 9,531.71, 14,294.98 and 3,983.88 is: 5,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.71 : 14,294.98 = 3,983.88 : x
  2. Step 2: Convert to fraction form
    9,531.71/14,294.98 = 3,983.88/x
  3. Step 3: Cross multiply
    9,531.71x = 14,294.98 × 3,983.88
  4. Step 4: Simplify right side
    9,531.71x = 56,949,543.51
  5. Step 5: Solve for x
    x = 56,949,543.51/9,531.71
  6. Step 6: Final answer
    x = 5,974.75

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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.