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Finding the Fourth Proportional to 9,253.97, 12,772.85 and 5,715.15

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Solution

The fourth proportional to 9,253.97, 12,772.85 and 5,715.15 is: 7,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.97 : 12,772.85 = 5,715.15 : x
  2. Step 2: Convert to fraction form
    9,253.97/12,772.85 = 5,715.15/x
  3. Step 3: Cross multiply
    9,253.97x = 12,772.85 × 5,715.15
  4. Step 4: Simplify right side
    9,253.97x = 72,998,725.10
  5. Step 5: Solve for x
    x = 72,998,725.10/9,253.97
  6. Step 6: Final answer
    x = 7,888.37

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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.