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Finding the Fourth Proportional to 6,433.74, 9,649.65 and 2,540.82

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Solution

The fourth proportional to 6,433.74, 9,649.65 and 2,540.82 is: 3,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.74 : 9,649.65 = 2,540.82 : x
  2. Step 2: Convert to fraction form
    6,433.74/9,649.65 = 2,540.82/x
  3. Step 3: Cross multiply
    6,433.74x = 9,649.65 × 2,540.82
  4. Step 4: Simplify right side
    6,433.74x = 24,518,023.71
  5. Step 5: Solve for x
    x = 24,518,023.71/6,433.74
  6. Step 6: Final answer
    x = 3,810.85

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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.