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Finding the Fourth Proportional to 7,076.87, 9,766.13 and 3,890.22

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Solution

The fourth proportional to 7,076.87, 9,766.13 and 3,890.22 is: 5,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.87 : 9,766.13 = 3,890.22 : x
  2. Step 2: Convert to fraction form
    7,076.87/9,766.13 = 3,890.22/x
  3. Step 3: Cross multiply
    7,076.87x = 9,766.13 × 3,890.22
  4. Step 4: Simplify right side
    7,076.87x = 37,992,374.80
  5. Step 5: Solve for x
    x = 37,992,374.80/7,076.87
  6. Step 6: Final answer
    x = 5,368.53

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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.