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Finding the Fourth Proportional to 6,464.80, 9,697.47 and 3,862

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Solution

The fourth proportional to 6,464.80, 9,697.47 and 3,862 is: 5,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.80 : 9,697.47 = 3,862 : x
  2. Step 2: Convert to fraction form
    6,464.80/9,697.47 = 3,862/x
  3. Step 3: Cross multiply
    6,464.80x = 9,697.47 × 3,862
  4. Step 4: Simplify right side
    6,464.80x = 37,451,629.14
  5. Step 5: Solve for x
    x = 37,451,629.14/6,464.80
  6. Step 6: Final answer
    x = 5,793.16

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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.