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Finding the Fourth Proportional to 6,598.13, 9,105.34 and 3,613.78

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Solution

The fourth proportional to 6,598.13, 9,105.34 and 3,613.78 is: 4,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.13 : 9,105.34 = 3,613.78 : x
  2. Step 2: Convert to fraction form
    6,598.13/9,105.34 = 3,613.78/x
  3. Step 3: Cross multiply
    6,598.13x = 9,105.34 × 3,613.78
  4. Step 4: Simplify right side
    6,598.13x = 32,904,695.59
  5. Step 5: Solve for x
    x = 32,904,695.59/6,598.13
  6. Step 6: Final answer
    x = 4,986.97

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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.