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Finding the Fourth Proportional to 7,076.96, 9,765.36 and 3,932.72

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Solution

The fourth proportional to 7,076.96, 9,765.36 and 3,932.72 is: 5,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.96 : 9,765.36 = 3,932.72 : x
  2. Step 2: Convert to fraction form
    7,076.96/9,765.36 = 3,932.72/x
  3. Step 3: Cross multiply
    7,076.96x = 9,765.36 × 3,932.72
  4. Step 4: Simplify right side
    7,076.96x = 38,404,426.58
  5. Step 5: Solve for x
    x = 38,404,426.58/7,076.96
  6. Step 6: Final answer
    x = 5,426.68

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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.