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Finding the Fourth Proportional to 6,249.70, 9,376.17 and 3,129.58

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Solution

The fourth proportional to 6,249.70, 9,376.17 and 3,129.58 is: 4,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.70 : 9,376.17 = 3,129.58 : x
  2. Step 2: Convert to fraction form
    6,249.70/9,376.17 = 3,129.58/x
  3. Step 3: Cross multiply
    6,249.70x = 9,376.17 × 3,129.58
  4. Step 4: Simplify right side
    6,249.70x = 29,343,474.11
  5. Step 5: Solve for x
    x = 29,343,474.11/6,249.70
  6. Step 6: Final answer
    x = 4,695.18

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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.