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Finding the Fourth Proportional to 6,365.25, 9,541.26 and 2,669.76

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Solution

The fourth proportional to 6,365.25, 9,541.26 and 2,669.76 is: 4,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.25 : 9,541.26 = 2,669.76 : x
  2. Step 2: Convert to fraction form
    6,365.25/9,541.26 = 2,669.76/x
  3. Step 3: Cross multiply
    6,365.25x = 9,541.26 × 2,669.76
  4. Step 4: Simplify right side
    6,365.25x = 25,472,874.30
  5. Step 5: Solve for x
    x = 25,472,874.30/6,365.25
  6. Step 6: Final answer
    x = 4,001.87

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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.