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Finding the Fourth Proportional to 9,158.49, 13,738.74 and 2,917.04

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Solution

The fourth proportional to 9,158.49, 13,738.74 and 2,917.04 is: 4,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.49 : 13,738.74 = 2,917.04 : x
  2. Step 2: Convert to fraction form
    9,158.49/13,738.74 = 2,917.04/x
  3. Step 3: Cross multiply
    9,158.49x = 13,738.74 × 2,917.04
  4. Step 4: Simplify right side
    9,158.49x = 40,076,454.13
  5. Step 5: Solve for x
    x = 40,076,454.13/9,158.49
  6. Step 6: Final answer
    x = 4,375.88

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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.