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Finding the Fourth Proportional to 9,613.04, 13,265.92 and 5,197.04

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Solution

The fourth proportional to 9,613.04, 13,265.92 and 5,197.04 is: 7,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.04 : 13,265.92 = 5,197.04 : x
  2. Step 2: Convert to fraction form
    9,613.04/13,265.92 = 5,197.04/x
  3. Step 3: Cross multiply
    9,613.04x = 13,265.92 × 5,197.04
  4. Step 4: Simplify right side
    9,613.04x = 68,943,516.88
  5. Step 5: Solve for x
    x = 68,943,516.88/9,613.04
  6. Step 6: Final answer
    x = 7,171.87

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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.