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Finding the Fourth Proportional to 7,077.40, 9,766.54 and 3,933.79

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Solution

The fourth proportional to 7,077.40, 9,766.54 and 3,933.79 is: 5,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.40 : 9,766.54 = 3,933.79 : x
  2. Step 2: Convert to fraction form
    7,077.40/9,766.54 = 3,933.79/x
  3. Step 3: Cross multiply
    7,077.40x = 9,766.54 × 3,933.79
  4. Step 4: Simplify right side
    7,077.40x = 38,419,497.89
  5. Step 5: Solve for x
    x = 38,419,497.89/7,077.40
  6. Step 6: Final answer
    x = 5,428.48

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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.