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Finding the Fourth Proportional to 6,701.43, 9,247.65 and 3,717.20

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Solution

The fourth proportional to 6,701.43, 9,247.65 and 3,717.20 is: 5,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.43 : 9,247.65 = 3,717.20 : x
  2. Step 2: Convert to fraction form
    6,701.43/9,247.65 = 3,717.20/x
  3. Step 3: Cross multiply
    6,701.43x = 9,247.65 × 3,717.20
  4. Step 4: Simplify right side
    6,701.43x = 34,375,364.58
  5. Step 5: Solve for x
    x = 34,375,364.58/6,701.43
  6. Step 6: Final answer
    x = 5,129.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.