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Finding the Fourth Proportional to 6,949.44, 9,591.35 and 3,965.40

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Solution

The fourth proportional to 6,949.44, 9,591.35 and 3,965.40 is: 5,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.44 : 9,591.35 = 3,965.40 : x
  2. Step 2: Convert to fraction form
    6,949.44/9,591.35 = 3,965.40/x
  3. Step 3: Cross multiply
    6,949.44x = 9,591.35 × 3,965.40
  4. Step 4: Simplify right side
    6,949.44x = 38,033,519.46
  5. Step 5: Solve for x
    x = 38,033,519.46/6,949.44
  6. Step 6: Final answer
    x = 5,472.89

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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.