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Finding the Fourth Proportional to 6,514.02, 9,773.46 and 3,591.54

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Solution

The fourth proportional to 6,514.02, 9,773.46 and 3,591.54 is: 5,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.02 : 9,773.46 = 3,591.54 : x
  2. Step 2: Convert to fraction form
    6,514.02/9,773.46 = 3,591.54/x
  3. Step 3: Cross multiply
    6,514.02x = 9,773.46 × 3,591.54
  4. Step 4: Simplify right side
    6,514.02x = 35,101,772.53
  5. Step 5: Solve for x
    x = 35,101,772.53/6,514.02
  6. Step 6: Final answer
    x = 5,388.65

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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.