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Finding the Fourth Proportional to 9,658.17, 14,487.61 and 3,418.85

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Solution

The fourth proportional to 9,658.17, 14,487.61 and 3,418.85 is: 5,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.17 : 14,487.61 = 3,418.85 : x
  2. Step 2: Convert to fraction form
    9,658.17/14,487.61 = 3,418.85/x
  3. Step 3: Cross multiply
    9,658.17x = 14,487.61 × 3,418.85
  4. Step 4: Simplify right side
    9,658.17x = 49,530,901.56
  5. Step 5: Solve for x
    x = 49,530,901.56/9,658.17
  6. Step 6: Final answer
    x = 5,128.39

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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.