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Finding the Fourth Proportional to 9,158.50, 13,740.18 and 3,963.16

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Solution

The fourth proportional to 9,158.50, 13,740.18 and 3,963.16 is: 5,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.50 : 13,740.18 = 3,963.16 : x
  2. Step 2: Convert to fraction form
    9,158.50/13,740.18 = 3,963.16/x
  3. Step 3: Cross multiply
    9,158.50x = 13,740.18 × 3,963.16
  4. Step 4: Simplify right side
    9,158.50x = 54,454,531.77
  5. Step 5: Solve for x
    x = 54,454,531.77/9,158.50
  6. Step 6: Final answer
    x = 5,945.79

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Why These Related Problems?

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