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Finding the Fourth Proportional to 6,151.52, 9,224.72 and 3,377.44

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Solution

The fourth proportional to 6,151.52, 9,224.72 and 3,377.44 is: 5,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.52 : 9,224.72 = 3,377.44 : x
  2. Step 2: Convert to fraction form
    6,151.52/9,224.72 = 3,377.44/x
  3. Step 3: Cross multiply
    6,151.52x = 9,224.72 × 3,377.44
  4. Step 4: Simplify right side
    6,151.52x = 31,155,938.32
  5. Step 5: Solve for x
    x = 31,155,938.32/6,151.52
  6. Step 6: Final answer
    x = 5,064.75

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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.