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Finding the Fourth Proportional to 9,575.52, 13,213.96 and 5,384.04

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Solution

The fourth proportional to 9,575.52, 13,213.96 and 5,384.04 is: 7,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.52 : 13,213.96 = 5,384.04 : x
  2. Step 2: Convert to fraction form
    9,575.52/13,213.96 = 5,384.04/x
  3. Step 3: Cross multiply
    9,575.52x = 13,213.96 × 5,384.04
  4. Step 4: Simplify right side
    9,575.52x = 71,144,489.20
  5. Step 5: Solve for x
    x = 71,144,489.20/9,575.52
  6. Step 6: Final answer
    x = 7,429.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.