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Finding the Fourth Proportional to 6,471.20, 9,700.86 and 2,086.40

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Solution

The fourth proportional to 6,471.20, 9,700.86 and 2,086.40 is: 3,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.20 : 9,700.86 = 2,086.40 : x
  2. Step 2: Convert to fraction form
    6,471.20/9,700.86 = 2,086.40/x
  3. Step 3: Cross multiply
    6,471.20x = 9,700.86 × 2,086.40
  4. Step 4: Simplify right side
    6,471.20x = 20,239,874.30
  5. Step 5: Solve for x
    x = 20,239,874.30/6,471.20
  6. Step 6: Final answer
    x = 3,127.68

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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.