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Finding the Fourth Proportional to 9,162.60, 13,744.88 and 2,921.14

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Solution

The fourth proportional to 9,162.60, 13,744.88 and 2,921.14 is: 4,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.60 : 13,744.88 = 2,921.14 : x
  2. Step 2: Convert to fraction form
    9,162.60/13,744.88 = 2,921.14/x
  3. Step 3: Cross multiply
    9,162.60x = 13,744.88 × 2,921.14
  4. Step 4: Simplify right side
    9,162.60x = 40,150,718.76
  5. Step 5: Solve for x
    x = 40,150,718.76/9,162.60
  6. Step 6: Final answer
    x = 4,382.02

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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.