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Finding the Fourth Proportional to 6,597.83, 9,105.23 and 3,613.84

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Solution

The fourth proportional to 6,597.83, 9,105.23 and 3,613.84 is: 4,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.83 : 9,105.23 = 3,613.84 : x
  2. Step 2: Convert to fraction form
    6,597.83/9,105.23 = 3,613.84/x
  3. Step 3: Cross multiply
    6,597.83x = 9,105.23 × 3,613.84
  4. Step 4: Simplify right side
    6,597.83x = 32,904,780.79
  5. Step 5: Solve for x
    x = 32,904,780.79/6,597.83
  6. Step 6: Final answer
    x = 4,987.21

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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.