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Finding the Fourth Proportional to 6,254.52, 9,377.11 and 3,788.74

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Solution

The fourth proportional to 6,254.52, 9,377.11 and 3,788.74 is: 5,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.52 : 9,377.11 = 3,788.74 : x
  2. Step 2: Convert to fraction form
    6,254.52/9,377.11 = 3,788.74/x
  3. Step 3: Cross multiply
    6,254.52x = 9,377.11 × 3,788.74
  4. Step 4: Simplify right side
    6,254.52x = 35,527,431.74
  5. Step 5: Solve for x
    x = 35,527,431.74/6,254.52
  6. Step 6: Final answer
    x = 5,680.28

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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.