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Finding the Fourth Proportional to 9,787.68, 13,512.69 and 7,425.72

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Solution

The fourth proportional to 9,787.68, 13,512.69 and 7,425.72 is: 10,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.68 : 13,512.69 = 7,425.72 : x
  2. Step 2: Convert to fraction form
    9,787.68/13,512.69 = 7,425.72/x
  3. Step 3: Cross multiply
    9,787.68x = 13,512.69 × 7,425.72
  4. Step 4: Simplify right side
    9,787.68x = 100,341,452.39
  5. Step 5: Solve for x
    x = 100,341,452.39/9,787.68
  6. Step 6: Final answer
    x = 10,251.81

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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.