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Finding the Fourth Proportional to 9,124.92, 12,587.94 and 5,766.12

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Solution

The fourth proportional to 9,124.92, 12,587.94 and 5,766.12 is: 7,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.92 : 12,587.94 = 5,766.12 : x
  2. Step 2: Convert to fraction form
    9,124.92/12,587.94 = 5,766.12/x
  3. Step 3: Cross multiply
    9,124.92x = 12,587.94 × 5,766.12
  4. Step 4: Simplify right side
    9,124.92x = 72,583,572.59
  5. Step 5: Solve for x
    x = 72,583,572.59/9,124.92
  6. Step 6: Final answer
    x = 7,954.43

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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.