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Finding the Fourth Proportional to 10,351.97, 14,278.01 and 6,571.85

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Solution

The fourth proportional to 10,351.97, 14,278.01 and 6,571.85 is: 9,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.97 : 14,278.01 = 6,571.85 : x
  2. Step 2: Convert to fraction form
    10,351.97/14,278.01 = 6,571.85/x
  3. Step 3: Cross multiply
    10,351.97x = 14,278.01 × 6,571.85
  4. Step 4: Simplify right side
    10,351.97x = 93,832,940.02
  5. Step 5: Solve for x
    x = 93,832,940.02/10,351.97
  6. Step 6: Final answer
    x = 9,064.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.