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Finding the Fourth Proportional to 6,948.04, 9,588.21 and 3,963.70

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Solution

The fourth proportional to 6,948.04, 9,588.21 and 3,963.70 is: 5,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.04 : 9,588.21 = 3,963.70 : x
  2. Step 2: Convert to fraction form
    6,948.04/9,588.21 = 3,963.70/x
  3. Step 3: Cross multiply
    6,948.04x = 9,588.21 × 3,963.70
  4. Step 4: Simplify right side
    6,948.04x = 38,004,787.98
  5. Step 5: Solve for x
    x = 38,004,787.98/6,948.04
  6. Step 6: Final answer
    x = 5,469.86

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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.