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Finding the Fourth Proportional to 9,158.30, 13,738.32 and 2,494.88

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Solution

The fourth proportional to 9,158.30, 13,738.32 and 2,494.88 is: 3,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.30 : 13,738.32 = 2,494.88 : x
  2. Step 2: Convert to fraction form
    9,158.30/13,738.32 = 2,494.88/x
  3. Step 3: Cross multiply
    9,158.30x = 13,738.32 × 2,494.88
  4. Step 4: Simplify right side
    9,158.30x = 34,275,391.11
  5. Step 5: Solve for x
    x = 34,275,391.11/9,158.30
  6. Step 6: Final answer
    x = 3,742.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.