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Finding the Fourth Proportional to 9,793.38, 14,690.07 and 2,867.88

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Solution

The fourth proportional to 9,793.38, 14,690.07 and 2,867.88 is: 4,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.38 : 14,690.07 = 2,867.88 : x
  2. Step 2: Convert to fraction form
    9,793.38/14,690.07 = 2,867.88/x
  3. Step 3: Cross multiply
    9,793.38x = 14,690.07 × 2,867.88
  4. Step 4: Simplify right side
    9,793.38x = 42,129,357.95
  5. Step 5: Solve for x
    x = 42,129,357.95/9,793.38
  6. Step 6: Final answer
    x = 4,301.82

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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.