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Finding the Fourth Proportional to 9,286.92, 12,815.84 and 5,037.88

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Solution

The fourth proportional to 9,286.92, 12,815.84 and 5,037.88 is: 6,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.92 : 12,815.84 = 5,037.88 : x
  2. Step 2: Convert to fraction form
    9,286.92/12,815.84 = 5,037.88/x
  3. Step 3: Cross multiply
    9,286.92x = 12,815.84 × 5,037.88
  4. Step 4: Simplify right side
    9,286.92x = 64,564,664.02
  5. Step 5: Solve for x
    x = 64,564,664.02/9,286.92
  6. Step 6: Final answer
    x = 6,952.21

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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.