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Finding the Fourth Proportional to 6,526.71, 9,791.28 and 2,144.48

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Solution

The fourth proportional to 6,526.71, 9,791.28 and 2,144.48 is: 3,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.71 : 9,791.28 = 2,144.48 : x
  2. Step 2: Convert to fraction form
    6,526.71/9,791.28 = 2,144.48/x
  3. Step 3: Cross multiply
    6,526.71x = 9,791.28 × 2,144.48
  4. Step 4: Simplify right side
    6,526.71x = 20,997,155.18
  5. Step 5: Solve for x
    x = 20,997,155.18/6,526.71
  6. Step 6: Final answer
    x = 3,217.11

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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.