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Finding the Fourth Proportional to 6,432.13, 9,648.02 and 2,049.85

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Solution

The fourth proportional to 6,432.13, 9,648.02 and 2,049.85 is: 3,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.13 : 9,648.02 = 2,049.85 : x
  2. Step 2: Convert to fraction form
    6,432.13/9,648.02 = 2,049.85/x
  3. Step 3: Cross multiply
    6,432.13x = 9,648.02 × 2,049.85
  4. Step 4: Simplify right side
    6,432.13x = 19,776,983.55
  5. Step 5: Solve for x
    x = 19,776,983.55/6,432.13
  6. Step 6: Final answer
    x = 3,074.72

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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.