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Finding the Fourth Proportional to 6,687.84, 9,963.96 and 6,357.36

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Solution

The fourth proportional to 6,687.84, 9,963.96 and 6,357.36 is: 9,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.84 : 9,963.96 = 6,357.36 : x
  2. Step 2: Convert to fraction form
    6,687.84/9,963.96 = 6,357.36/x
  3. Step 3: Cross multiply
    6,687.84x = 9,963.96 × 6,357.36
  4. Step 4: Simplify right side
    6,687.84x = 63,344,480.75
  5. Step 5: Solve for x
    x = 63,344,480.75/6,687.84
  6. Step 6: Final answer
    x = 9,471.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.