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Finding the Fourth Proportional to 6,327.18, 8,731.76 and 3,494.70

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Solution

The fourth proportional to 6,327.18, 8,731.76 and 3,494.70 is: 4,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.18 : 8,731.76 = 3,494.70 : x
  2. Step 2: Convert to fraction form
    6,327.18/8,731.76 = 3,494.70/x
  3. Step 3: Cross multiply
    6,327.18x = 8,731.76 × 3,494.70
  4. Step 4: Simplify right side
    6,327.18x = 30,514,864.20
  5. Step 5: Solve for x
    x = 30,514,864.20/6,327.18
  6. Step 6: Final answer
    x = 4,822.82

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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.