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Finding the Fourth Proportional to 7,076.76, 9,765.50 and 3,932.84

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Solution

The fourth proportional to 7,076.76, 9,765.50 and 3,932.84 is: 5,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.76 : 9,765.50 = 3,932.84 : x
  2. Step 2: Convert to fraction form
    7,076.76/9,765.50 = 3,932.84/x
  3. Step 3: Cross multiply
    7,076.76x = 9,765.50 × 3,932.84
  4. Step 4: Simplify right side
    7,076.76x = 38,406,149.02
  5. Step 5: Solve for x
    x = 38,406,149.02/7,076.76
  6. Step 6: Final answer
    x = 5,427.08

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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.