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Finding the Fourth Proportional to 7,077.48, 9,766.98 and 3,933.96

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Solution

The fourth proportional to 7,077.48, 9,766.98 and 3,933.96 is: 5,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.48 : 9,766.98 = 3,933.96 : x
  2. Step 2: Convert to fraction form
    7,077.48/9,766.98 = 3,933.96/x
  3. Step 3: Cross multiply
    7,077.48x = 9,766.98 × 3,933.96
  4. Step 4: Simplify right side
    7,077.48x = 38,422,908.64
  5. Step 5: Solve for x
    x = 38,422,908.64/7,077.48
  6. Step 6: Final answer
    x = 5,428.90

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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.