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Finding the Fourth Proportional to 9,158.73, 12,639.50 and 5,382.10

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Solution

The fourth proportional to 9,158.73, 12,639.50 and 5,382.10 is: 7,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.73 : 12,639.50 = 5,382.10 : x
  2. Step 2: Convert to fraction form
    9,158.73/12,639.50 = 5,382.10/x
  3. Step 3: Cross multiply
    9,158.73x = 12,639.50 × 5,382.10
  4. Step 4: Simplify right side
    9,158.73x = 68,027,052.95
  5. Step 5: Solve for x
    x = 68,027,052.95/9,158.73
  6. Step 6: Final answer
    x = 7,427.56

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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.