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Finding the Fourth Proportional to 6,247.68, 9,355.32 and 3,649.20

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Solution

The fourth proportional to 6,247.68, 9,355.32 and 3,649.20 is: 5,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247.68 : 9,355.32 = 3,649.20 : x
  2. Step 2: Convert to fraction form
    6,247.68/9,355.32 = 3,649.20/x
  3. Step 3: Cross multiply
    6,247.68x = 9,355.32 × 3,649.20
  4. Step 4: Simplify right side
    6,247.68x = 34,139,433.74
  5. Step 5: Solve for x
    x = 34,139,433.74/6,247.68
  6. Step 6: Final answer
    x = 5,464.34

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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.