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Finding the Fourth Proportional to 9,158.54, 12,639.31 and 5,180.02

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Solution

The fourth proportional to 9,158.54, 12,639.31 and 5,180.02 is: 7,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.54 : 12,639.31 = 5,180.02 : x
  2. Step 2: Convert to fraction form
    9,158.54/12,639.31 = 5,180.02/x
  3. Step 3: Cross multiply
    9,158.54x = 12,639.31 × 5,180.02
  4. Step 4: Simplify right side
    9,158.54x = 65,471,834.04
  5. Step 5: Solve for x
    x = 65,471,834.04/9,158.54
  6. Step 6: Final answer
    x = 7,148.72

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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.