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Finding the Fourth Proportional to 6,358.32, 9,540.12 and 3,433.20

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Solution

The fourth proportional to 6,358.32, 9,540.12 and 3,433.20 is: 5,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.32 : 9,540.12 = 3,433.20 : x
  2. Step 2: Convert to fraction form
    6,358.32/9,540.12 = 3,433.20/x
  3. Step 3: Cross multiply
    6,358.32x = 9,540.12 × 3,433.20
  4. Step 4: Simplify right side
    6,358.32x = 32,753,139.98
  5. Step 5: Solve for x
    x = 32,753,139.98/6,358.32
  6. Step 6: Final answer
    x = 5,151.23

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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.