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Finding the Fourth Proportional to 6,031.60, 9,049.23 and 4,065.12

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Solution

The fourth proportional to 6,031.60, 9,049.23 and 4,065.12 is: 6,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.60 : 9,049.23 = 4,065.12 : x
  2. Step 2: Convert to fraction form
    6,031.60/9,049.23 = 4,065.12/x
  3. Step 3: Cross multiply
    6,031.60x = 9,049.23 × 4,065.12
  4. Step 4: Simplify right side
    6,031.60x = 36,786,205.86
  5. Step 5: Solve for x
    x = 36,786,205.86/6,031.60
  6. Step 6: Final answer
    x = 6,098.92

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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.