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Finding the Fourth Proportional to 9,246.20, 12,761.19 and 5,890.46

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Solution

The fourth proportional to 9,246.20, 12,761.19 and 5,890.46 is: 8,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.20 : 12,761.19 = 5,890.46 : x
  2. Step 2: Convert to fraction form
    9,246.20/12,761.19 = 5,890.46/x
  3. Step 3: Cross multiply
    9,246.20x = 12,761.19 × 5,890.46
  4. Step 4: Simplify right side
    9,246.20x = 75,169,215.44
  5. Step 5: Solve for x
    x = 75,169,215.44/9,246.20
  6. Step 6: Final answer
    x = 8,129.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.