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Finding the Fourth Proportional to 6,078.82, 9,123.06 and 3,157.96

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Solution

The fourth proportional to 6,078.82, 9,123.06 and 3,157.96 is: 4,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.82 : 9,123.06 = 3,157.96 : x
  2. Step 2: Convert to fraction form
    6,078.82/9,123.06 = 3,157.96/x
  3. Step 3: Cross multiply
    6,078.82x = 9,123.06 × 3,157.96
  4. Step 4: Simplify right side
    6,078.82x = 28,810,258.56
  5. Step 5: Solve for x
    x = 28,810,258.56/6,078.82
  6. Step 6: Final answer
    x = 4,739.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.