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Finding the Fourth Proportional to 6,128.73, 9,193.23 and 2,432.70

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Solution

The fourth proportional to 6,128.73, 9,193.23 and 2,432.70 is: 3,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.73 : 9,193.23 = 2,432.70 : x
  2. Step 2: Convert to fraction form
    6,128.73/9,193.23 = 2,432.70/x
  3. Step 3: Cross multiply
    6,128.73x = 9,193.23 × 2,432.70
  4. Step 4: Simplify right side
    6,128.73x = 22,364,370.62
  5. Step 5: Solve for x
    x = 22,364,370.62/6,128.73
  6. Step 6: Final answer
    x = 3,649.10

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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.