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Finding the Fourth Proportional to 6,597.66, 9,104.69 and 3,613.46

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Solution

The fourth proportional to 6,597.66, 9,104.69 and 3,613.46 is: 4,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.66 : 9,104.69 = 3,613.46 : x
  2. Step 2: Convert to fraction form
    6,597.66/9,104.69 = 3,613.46/x
  3. Step 3: Cross multiply
    6,597.66x = 9,104.69 × 3,613.46
  4. Step 4: Simplify right side
    6,597.66x = 32,899,396.64
  5. Step 5: Solve for x
    x = 32,899,396.64/6,597.66
  6. Step 6: Final answer
    x = 4,986.53

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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.