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Finding the Fourth Proportional to 6,532.06, 9,785.85 and 3,241.30

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Solution

The fourth proportional to 6,532.06, 9,785.85 and 3,241.30 is: 4,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.06 : 9,785.85 = 3,241.30 : x
  2. Step 2: Convert to fraction form
    6,532.06/9,785.85 = 3,241.30/x
  3. Step 3: Cross multiply
    6,532.06x = 9,785.85 × 3,241.30
  4. Step 4: Simplify right side
    6,532.06x = 31,718,875.61
  5. Step 5: Solve for x
    x = 31,718,875.61/6,532.06
  6. Step 6: Final answer
    x = 4,855.88

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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.