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Finding the Fourth Proportional to 6,320.68, 9,481.07 and 4,143.20

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Solution

The fourth proportional to 6,320.68, 9,481.07 and 4,143.20 is: 6,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.68 : 9,481.07 = 4,143.20 : x
  2. Step 2: Convert to fraction form
    6,320.68/9,481.07 = 4,143.20/x
  3. Step 3: Cross multiply
    6,320.68x = 9,481.07 × 4,143.20
  4. Step 4: Simplify right side
    6,320.68x = 39,281,901.10
  5. Step 5: Solve for x
    x = 39,281,901.10/6,320.68
  6. Step 6: Final answer
    x = 6,214.82

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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.