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Finding the Fourth Proportional to 9,162.11, 13,742.92 and 2,922.50

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Solution

The fourth proportional to 9,162.11, 13,742.92 and 2,922.50 is: 4,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.11 : 13,742.92 = 2,922.50 : x
  2. Step 2: Convert to fraction form
    9,162.11/13,742.92 = 2,922.50/x
  3. Step 3: Cross multiply
    9,162.11x = 13,742.92 × 2,922.50
  4. Step 4: Simplify right side
    9,162.11x = 40,163,627.97
  5. Step 5: Solve for x
    x = 40,163,627.97/9,162.11
  6. Step 6: Final answer
    x = 4,383.66

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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.