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Finding the Fourth Proportional to 6,298.86, 9,449.31 and 2,139.24

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Solution

The fourth proportional to 6,298.86, 9,449.31 and 2,139.24 is: 3,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.86 : 9,449.31 = 2,139.24 : x
  2. Step 2: Convert to fraction form
    6,298.86/9,449.31 = 2,139.24/x
  3. Step 3: Cross multiply
    6,298.86x = 9,449.31 × 2,139.24
  4. Step 4: Simplify right side
    6,298.86x = 20,214,341.92
  5. Step 5: Solve for x
    x = 20,214,341.92/6,298.86
  6. Step 6: Final answer
    x = 3,209.21

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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.