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Finding the Fourth Proportional to 6,432.39, 8,865.75 and 5,309.73

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Solution

The fourth proportional to 6,432.39, 8,865.75 and 5,309.73 is: 7,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.39 : 8,865.75 = 5,309.73 : x
  2. Step 2: Convert to fraction form
    6,432.39/8,865.75 = 5,309.73/x
  3. Step 3: Cross multiply
    6,432.39x = 8,865.75 × 5,309.73
  4. Step 4: Simplify right side
    6,432.39x = 47,074,738.75
  5. Step 5: Solve for x
    x = 47,074,738.75/6,432.39
  6. Step 6: Final answer
    x = 7,318.39

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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.