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Finding the Fourth Proportional to 9,291.54, 13,932.11 and 3,049.88

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Solution

The fourth proportional to 9,291.54, 13,932.11 and 3,049.88 is: 4,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.54 : 13,932.11 = 3,049.88 : x
  2. Step 2: Convert to fraction form
    9,291.54/13,932.11 = 3,049.88/x
  3. Step 3: Cross multiply
    9,291.54x = 13,932.11 × 3,049.88
  4. Step 4: Simplify right side
    9,291.54x = 42,491,306.10
  5. Step 5: Solve for x
    x = 42,491,306.10/9,291.54
  6. Step 6: Final answer
    x = 4,573.12

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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.