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Finding the Fourth Proportional to 6,465.20, 9,689.70 and 3,171.20

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Solution

The fourth proportional to 6,465.20, 9,689.70 and 3,171.20 is: 4,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.20 : 9,689.70 = 3,171.20 : x
  2. Step 2: Convert to fraction form
    6,465.20/9,689.70 = 3,171.20/x
  3. Step 3: Cross multiply
    6,465.20x = 9,689.70 × 3,171.20
  4. Step 4: Simplify right side
    6,465.20x = 30,727,976.64
  5. Step 5: Solve for x
    x = 30,727,976.64/6,465.20
  6. Step 6: Final answer
    x = 4,752.83

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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.