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Finding the Fourth Proportional to 9,849.52, 13,592.10 and 5,658.04

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Solution

The fourth proportional to 9,849.52, 13,592.10 and 5,658.04 is: 7,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.52 : 13,592.10 = 5,658.04 : x
  2. Step 2: Convert to fraction form
    9,849.52/13,592.10 = 5,658.04/x
  3. Step 3: Cross multiply
    9,849.52x = 13,592.10 × 5,658.04
  4. Step 4: Simplify right side
    9,849.52x = 76,904,645.48
  5. Step 5: Solve for x
    x = 76,904,645.48/9,849.52
  6. Step 6: Final answer
    x = 7,807.96

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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.