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Finding the Fourth Proportional to 6,949.97, 9,592.06 and 3,966.77

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Solution

The fourth proportional to 6,949.97, 9,592.06 and 3,966.77 is: 5,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.97 : 9,592.06 = 3,966.77 : x
  2. Step 2: Convert to fraction form
    6,949.97/9,592.06 = 3,966.77/x
  3. Step 3: Cross multiply
    6,949.97x = 9,592.06 × 3,966.77
  4. Step 4: Simplify right side
    6,949.97x = 38,049,495.85
  5. Step 5: Solve for x
    x = 38,049,495.85/6,949.97
  6. Step 6: Final answer
    x = 5,474.77

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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.