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Finding the Fourth Proportional to 6,301.60, 9,452.40 and 3,378.40

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Solution

The fourth proportional to 6,301.60, 9,452.40 and 3,378.40 is: 5,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.60 : 9,452.40 = 3,378.40 : x
  2. Step 2: Convert to fraction form
    6,301.60/9,452.40 = 3,378.40/x
  3. Step 3: Cross multiply
    6,301.60x = 9,452.40 × 3,378.40
  4. Step 4: Simplify right side
    6,301.60x = 31,933,988.16
  5. Step 5: Solve for x
    x = 31,933,988.16/6,301.60
  6. Step 6: Final answer
    x = 5,067.60

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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.