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Finding the Fourth Proportional to 9,671.52, 13,350.78 and 6,531.96

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Solution

The fourth proportional to 9,671.52, 13,350.78 and 6,531.96 is: 9,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.52 : 13,350.78 = 6,531.96 : x
  2. Step 2: Convert to fraction form
    9,671.52/13,350.78 = 6,531.96/x
  3. Step 3: Cross multiply
    9,671.52x = 13,350.78 × 6,531.96
  4. Step 4: Simplify right side
    9,671.52x = 87,206,760.93
  5. Step 5: Solve for x
    x = 87,206,760.93/9,671.52
  6. Step 6: Final answer
    x = 9,016.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.