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Finding the Fourth Proportional to 9,158.93, 12,639.24 and 5,180.05

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Solution

The fourth proportional to 9,158.93, 12,639.24 and 5,180.05 is: 7,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.93 : 12,639.24 = 5,180.05 : x
  2. Step 2: Convert to fraction form
    9,158.93/12,639.24 = 5,180.05/x
  3. Step 3: Cross multiply
    9,158.93x = 12,639.24 × 5,180.05
  4. Step 4: Simplify right side
    9,158.93x = 65,471,863.56
  5. Step 5: Solve for x
    x = 65,471,863.56/9,158.93
  6. Step 6: Final answer
    x = 7,148.42

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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.