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Finding the Fourth Proportional to 7,076.58, 9,765.42 and 3,932.98

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Solution

The fourth proportional to 7,076.58, 9,765.42 and 3,932.98 is: 5,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.58 : 9,765.42 = 3,932.98 : x
  2. Step 2: Convert to fraction form
    7,076.58/9,765.42 = 3,932.98/x
  3. Step 3: Cross multiply
    7,076.58x = 9,765.42 × 3,932.98
  4. Step 4: Simplify right side
    7,076.58x = 38,407,201.55
  5. Step 5: Solve for x
    x = 38,407,201.55/7,076.58
  6. Step 6: Final answer
    x = 5,427.37

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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.