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Finding the Fourth Proportional to 9,286.56, 13,979.70 and 8,334

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Solution

The fourth proportional to 9,286.56, 13,979.70 and 8,334 is: 12,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.56 : 13,979.70 = 8,334 : x
  2. Step 2: Convert to fraction form
    9,286.56/13,979.70 = 8,334/x
  3. Step 3: Cross multiply
    9,286.56x = 13,979.70 × 8,334
  4. Step 4: Simplify right side
    9,286.56x = 116,506,819.80
  5. Step 5: Solve for x
    x = 116,506,819.80/9,286.56
  6. Step 6: Final answer
    x = 12,545.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.