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Finding the Fourth Proportional to 7,077.22, 9,766.56 and 3,933.39

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Solution

The fourth proportional to 7,077.22, 9,766.56 and 3,933.39 is: 5,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.22 : 9,766.56 = 3,933.39 : x
  2. Step 2: Convert to fraction form
    7,077.22/9,766.56 = 3,933.39/x
  3. Step 3: Cross multiply
    7,077.22x = 9,766.56 × 3,933.39
  4. Step 4: Simplify right side
    7,077.22x = 38,415,689.44
  5. Step 5: Solve for x
    x = 38,415,689.44/7,077.22
  6. Step 6: Final answer
    x = 5,428.08

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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.