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Finding the Fourth Proportional to 9,049.71, 13,540.41 and 6,113.46

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Solution

The fourth proportional to 9,049.71, 13,540.41 and 6,113.46 is: 9,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.71 : 13,540.41 = 6,113.46 : x
  2. Step 2: Convert to fraction form
    9,049.71/13,540.41 = 6,113.46/x
  3. Step 3: Cross multiply
    9,049.71x = 13,540.41 × 6,113.46
  4. Step 4: Simplify right side
    9,049.71x = 82,778,754.92
  5. Step 5: Solve for x
    x = 82,778,754.92/9,049.71
  6. Step 6: Final answer
    x = 9,147.12

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