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Finding the Fourth Proportional to 7,076.76, 9,766.06 and 3,933.24

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Solution

The fourth proportional to 7,076.76, 9,766.06 and 3,933.24 is: 5,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.76 : 9,766.06 = 3,933.24 : x
  2. Step 2: Convert to fraction form
    7,076.76/9,766.06 = 3,933.24/x
  3. Step 3: Cross multiply
    7,076.76x = 9,766.06 × 3,933.24
  4. Step 4: Simplify right side
    7,076.76x = 38,412,257.83
  5. Step 5: Solve for x
    x = 38,412,257.83/7,076.76
  6. Step 6: Final answer
    x = 5,427.94

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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.