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Finding the Fourth Proportional to 9,140.92, 12,613.86 and 5,162.20

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Solution

The fourth proportional to 9,140.92, 12,613.86 and 5,162.20 is: 7,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.92 : 12,613.86 = 5,162.20 : x
  2. Step 2: Convert to fraction form
    9,140.92/12,613.86 = 5,162.20/x
  3. Step 3: Cross multiply
    9,140.92x = 12,613.86 × 5,162.20
  4. Step 4: Simplify right side
    9,140.92x = 65,115,268.09
  5. Step 5: Solve for x
    x = 65,115,268.09/9,140.92
  6. Step 6: Final answer
    x = 7,123.49

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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.