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Finding the Fourth Proportional to 6,078.40, 9,114.96 and 2,569.97

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Solution

The fourth proportional to 6,078.40, 9,114.96 and 2,569.97 is: 3,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.40 : 9,114.96 = 2,569.97 : x
  2. Step 2: Convert to fraction form
    6,078.40/9,114.96 = 2,569.97/x
  3. Step 3: Cross multiply
    6,078.40x = 9,114.96 × 2,569.97
  4. Step 4: Simplify right side
    6,078.40x = 23,425,173.75
  5. Step 5: Solve for x
    x = 23,425,173.75/6,078.40
  6. Step 6: Final answer
    x = 3,853.84

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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.