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Finding the Fourth Proportional to 6,954, 9,601.56 and 4,474.32

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Solution

The fourth proportional to 6,954, 9,601.56 and 4,474.32 is: 6,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954 : 9,601.56 = 4,474.32 : x
  2. Step 2: Convert to fraction form
    6,954/9,601.56 = 4,474.32/x
  3. Step 3: Cross multiply
    6,954x = 9,601.56 × 4,474.32
  4. Step 4: Simplify right side
    6,954x = 42,960,451.94
  5. Step 5: Solve for x
    x = 42,960,451.94/6,954
  6. Step 6: Final answer
    x = 6,177.80

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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.