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Finding the Fourth Proportional to 9,372.96, 14,062.32 and 5,484.96

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Solution

The fourth proportional to 9,372.96, 14,062.32 and 5,484.96 is: 8,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.96 : 14,062.32 = 5,484.96 : x
  2. Step 2: Convert to fraction form
    9,372.96/14,062.32 = 5,484.96/x
  3. Step 3: Cross multiply
    9,372.96x = 14,062.32 × 5,484.96
  4. Step 4: Simplify right side
    9,372.96x = 77,131,262.71
  5. Step 5: Solve for x
    x = 77,131,262.71/9,372.96
  6. Step 6: Final answer
    x = 8,229.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.