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Finding the Fourth Proportional to 8,201.44, 12,275.40 and 6,242.84

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Solution

The fourth proportional to 8,201.44, 12,275.40 and 6,242.84 is: 9,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.44 : 12,275.40 = 6,242.84 : x
  2. Step 2: Convert to fraction form
    8,201.44/12,275.40 = 6,242.84/x
  3. Step 3: Cross multiply
    8,201.44x = 12,275.40 × 6,242.84
  4. Step 4: Simplify right side
    8,201.44x = 76,633,358.14
  5. Step 5: Solve for x
    x = 76,633,358.14/8,201.44
  6. Step 6: Final answer
    x = 9,343.89

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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.