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Finding the Fourth Proportional to 6,454.40, 9,697.82 and 4,115.48

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Solution

The fourth proportional to 6,454.40, 9,697.82 and 4,115.48 is: 6,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.40 : 9,697.82 = 4,115.48 : x
  2. Step 2: Convert to fraction form
    6,454.40/9,697.82 = 4,115.48/x
  3. Step 3: Cross multiply
    6,454.40x = 9,697.82 × 4,115.48
  4. Step 4: Simplify right side
    6,454.40x = 39,911,115.19
  5. Step 5: Solve for x
    x = 39,911,115.19/6,454.40
  6. Step 6: Final answer
    x = 6,183.56

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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.