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Finding the Fourth Proportional to 9,536.43, 14,302.89 and 3,988.29

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Solution

The fourth proportional to 9,536.43, 14,302.89 and 3,988.29 is: 5,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.43 : 14,302.89 = 3,988.29 : x
  2. Step 2: Convert to fraction form
    9,536.43/14,302.89 = 3,988.29/x
  3. Step 3: Cross multiply
    9,536.43x = 14,302.89 × 3,988.29
  4. Step 4: Simplify right side
    9,536.43x = 57,044,073.16
  5. Step 5: Solve for x
    x = 57,044,073.16/9,536.43
  6. Step 6: Final answer
    x = 5,981.70

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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.