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Finding the Fourth Proportional to 6,663.75, 9,195.98 and 3,869.25

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Solution

The fourth proportional to 6,663.75, 9,195.98 and 3,869.25 is: 5,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.75 : 9,195.98 = 3,869.25 : x
  2. Step 2: Convert to fraction form
    6,663.75/9,195.98 = 3,869.25/x
  3. Step 3: Cross multiply
    6,663.75x = 9,195.98 × 3,869.25
  4. Step 4: Simplify right side
    6,663.75x = 35,581,526.27
  5. Step 5: Solve for x
    x = 35,581,526.27/6,663.75
  6. Step 6: Final answer
    x = 5,339.57

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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.