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Finding the Fourth Proportional to 9,524.96, 14,279.68 and 3,982.40

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Solution

The fourth proportional to 9,524.96, 14,279.68 and 3,982.40 is: 5,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.96 : 14,279.68 = 3,982.40 : x
  2. Step 2: Convert to fraction form
    9,524.96/14,279.68 = 3,982.40/x
  3. Step 3: Cross multiply
    9,524.96x = 14,279.68 × 3,982.40
  4. Step 4: Simplify right side
    9,524.96x = 56,867,397.63
  5. Step 5: Solve for x
    x = 56,867,397.63/9,524.96
  6. Step 6: Final answer
    x = 5,970.36

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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.