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Finding the Fourth Proportional to 9,671.92, 14,508.92 and 4,125.85

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Solution

The fourth proportional to 9,671.92, 14,508.92 and 4,125.85 is: 6,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.92 : 14,508.92 = 4,125.85 : x
  2. Step 2: Convert to fraction form
    9,671.92/14,508.92 = 4,125.85/x
  3. Step 3: Cross multiply
    9,671.92x = 14,508.92 × 4,125.85
  4. Step 4: Simplify right side
    9,671.92x = 59,861,601.62
  5. Step 5: Solve for x
    x = 59,861,601.62/9,671.92
  6. Step 6: Final answer
    x = 6,189.22

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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.