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Finding the Fourth Proportional to 6,123.97, 9,177.73 and 3,346.48

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Solution

The fourth proportional to 6,123.97, 9,177.73 and 3,346.48 is: 5,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.97 : 9,177.73 = 3,346.48 : x
  2. Step 2: Convert to fraction form
    6,123.97/9,177.73 = 3,346.48/x
  3. Step 3: Cross multiply
    6,123.97x = 9,177.73 × 3,346.48
  4. Step 4: Simplify right side
    6,123.97x = 30,713,089.89
  5. Step 5: Solve for x
    x = 30,713,089.89/6,123.97
  6. Step 6: Final answer
    x = 5,015.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.