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Finding the Fourth Proportional to 8,259.44, 12,377.52 and 6,401.86

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Solution

The fourth proportional to 8,259.44, 12,377.52 and 6,401.86 is: 9,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.44 : 12,377.52 = 6,401.86 : x
  2. Step 2: Convert to fraction form
    8,259.44/12,377.52 = 6,401.86/x
  3. Step 3: Cross multiply
    8,259.44x = 12,377.52 × 6,401.86
  4. Step 4: Simplify right side
    8,259.44x = 79,239,119.24
  5. Step 5: Solve for x
    x = 79,239,119.24/8,259.44
  6. Step 6: Final answer
    x = 9,593.76

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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.