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Finding the Fourth Proportional to 6,951.16, 9,593.52 and 3,966.31

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Solution

The fourth proportional to 6,951.16, 9,593.52 and 3,966.31 is: 5,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.16 : 9,593.52 = 3,966.31 : x
  2. Step 2: Convert to fraction form
    6,951.16/9,593.52 = 3,966.31/x
  3. Step 3: Cross multiply
    6,951.16x = 9,593.52 × 3,966.31
  4. Step 4: Simplify right side
    6,951.16x = 38,050,874.31
  5. Step 5: Solve for x
    x = 38,050,874.31/6,951.16
  6. Step 6: Final answer
    x = 5,474.03

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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.