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Finding the Fourth Proportional to 8,230.68, 12,352.26 and 6,377.28

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Solution

The fourth proportional to 8,230.68, 12,352.26 and 6,377.28 is: 9,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.68 : 12,352.26 = 6,377.28 : x
  2. Step 2: Convert to fraction form
    8,230.68/12,352.26 = 6,377.28/x
  3. Step 3: Cross multiply
    8,230.68x = 12,352.26 × 6,377.28
  4. Step 4: Simplify right side
    8,230.68x = 78,773,820.65
  5. Step 5: Solve for x
    x = 78,773,820.65/8,230.68
  6. Step 6: Final answer
    x = 9,570.75

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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.