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Finding the Fourth Proportional to 6,417.46, 9,613.72 and 3,635.56

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Solution

The fourth proportional to 6,417.46, 9,613.72 and 3,635.56 is: 5,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.46 : 9,613.72 = 3,635.56 : x
  2. Step 2: Convert to fraction form
    6,417.46/9,613.72 = 3,635.56/x
  3. Step 3: Cross multiply
    6,417.46x = 9,613.72 × 3,635.56
  4. Step 4: Simplify right side
    6,417.46x = 34,951,255.88
  5. Step 5: Solve for x
    x = 34,951,255.88/6,417.46
  6. Step 6: Final answer
    x = 5,446.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.