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Finding the Fourth Proportional to 9,209.54, 12,695.78 and 6,372.59

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Solution

The fourth proportional to 9,209.54, 12,695.78 and 6,372.59 is: 8,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.54 : 12,695.78 = 6,372.59 : x
  2. Step 2: Convert to fraction form
    9,209.54/12,695.78 = 6,372.59/x
  3. Step 3: Cross multiply
    9,209.54x = 12,695.78 × 6,372.59
  4. Step 4: Simplify right side
    9,209.54x = 80,904,905.33
  5. Step 5: Solve for x
    x = 80,904,905.33/9,209.54
  6. Step 6: Final answer
    x = 8,784.91

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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.