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Finding the Fourth Proportional to 9,159.66, 12,638.97 and 5,180.13

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Solution

The fourth proportional to 9,159.66, 12,638.97 and 5,180.13 is: 7,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.66 : 12,638.97 = 5,180.13 : x
  2. Step 2: Convert to fraction form
    9,159.66/12,638.97 = 5,180.13/x
  3. Step 3: Cross multiply
    9,159.66x = 12,638.97 × 5,180.13
  4. Step 4: Simplify right side
    9,159.66x = 65,471,507.67
  5. Step 5: Solve for x
    x = 65,471,507.67/9,159.66
  6. Step 6: Final answer
    x = 7,147.81

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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.