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Finding the Fourth Proportional to 8,947.54, 13,426.04 and 6,502.60

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Solution

The fourth proportional to 8,947.54, 13,426.04 and 6,502.60 is: 9,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.54 : 13,426.04 = 6,502.60 : x
  2. Step 2: Convert to fraction form
    8,947.54/13,426.04 = 6,502.60/x
  3. Step 3: Cross multiply
    8,947.54x = 13,426.04 × 6,502.60
  4. Step 4: Simplify right side
    8,947.54x = 87,304,167.70
  5. Step 5: Solve for x
    x = 87,304,167.70/8,947.54
  6. Step 6: Final answer
    x = 9,757.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.