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Finding the Fourth Proportional to 9,046.92, 13,577.18 and 3,856.36

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Solution

The fourth proportional to 9,046.92, 13,577.18 and 3,856.36 is: 5,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.92 : 13,577.18 = 3,856.36 : x
  2. Step 2: Convert to fraction form
    9,046.92/13,577.18 = 3,856.36/x
  3. Step 3: Cross multiply
    9,046.92x = 13,577.18 × 3,856.36
  4. Step 4: Simplify right side
    9,046.92x = 52,358,493.86
  5. Step 5: Solve for x
    x = 52,358,493.86/9,046.92
  6. Step 6: Final answer
    x = 5,787.44

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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.