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Finding the Fourth Proportional to 7,208.77, 9,948.12 and 3,896.77

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Solution

The fourth proportional to 7,208.77, 9,948.12 and 3,896.77 is: 5,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.77 : 9,948.12 = 3,896.77 : x
  2. Step 2: Convert to fraction form
    7,208.77/9,948.12 = 3,896.77/x
  3. Step 3: Cross multiply
    7,208.77x = 9,948.12 × 3,896.77
  4. Step 4: Simplify right side
    7,208.77x = 38,765,535.57
  5. Step 5: Solve for x
    x = 38,765,535.57/7,208.77
  6. Step 6: Final answer
    x = 5,377.55

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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.