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Finding the Fourth Proportional to 8,649.20, 12,965.16 and 4,269.80

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Solution

The fourth proportional to 8,649.20, 12,965.16 and 4,269.80 is: 6,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.20 : 12,965.16 = 4,269.80 : x
  2. Step 2: Convert to fraction form
    8,649.20/12,965.16 = 4,269.80/x
  3. Step 3: Cross multiply
    8,649.20x = 12,965.16 × 4,269.80
  4. Step 4: Simplify right side
    8,649.20x = 55,358,640.17
  5. Step 5: Solve for x
    x = 55,358,640.17/8,649.20
  6. Step 6: Final answer
    x = 6,400.43

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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.