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Finding the Fourth Proportional to 6,078.70, 9,111.66 and 2,567.98

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Solution

The fourth proportional to 6,078.70, 9,111.66 and 2,567.98 is: 3,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.70 : 9,111.66 = 2,567.98 : x
  2. Step 2: Convert to fraction form
    6,078.70/9,111.66 = 2,567.98/x
  3. Step 3: Cross multiply
    6,078.70x = 9,111.66 × 2,567.98
  4. Step 4: Simplify right side
    6,078.70x = 23,398,560.65
  5. Step 5: Solve for x
    x = 23,398,560.65/6,078.70
  6. Step 6: Final answer
    x = 3,849.27

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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.