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Finding the Fourth Proportional to 7,077, 9,766.26 and 3,933.84

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Solution

The fourth proportional to 7,077, 9,766.26 and 3,933.84 is: 5,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077 : 9,766.26 = 3,933.84 : x
  2. Step 2: Convert to fraction form
    7,077/9,766.26 = 3,933.84/x
  3. Step 3: Cross multiply
    7,077x = 9,766.26 × 3,933.84
  4. Step 4: Simplify right side
    7,077x = 38,418,904.24
  5. Step 5: Solve for x
    x = 38,418,904.24/7,077
  6. Step 6: Final answer
    x = 5,428.70

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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.