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Finding the Fourth Proportional to 6,077.14, 9,111.14 and 2,571.25

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Solution

The fourth proportional to 6,077.14, 9,111.14 and 2,571.25 is: 3,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.14 : 9,111.14 = 2,571.25 : x
  2. Step 2: Convert to fraction form
    6,077.14/9,111.14 = 2,571.25/x
  3. Step 3: Cross multiply
    6,077.14x = 9,111.14 × 2,571.25
  4. Step 4: Simplify right side
    6,077.14x = 23,426,989.52
  5. Step 5: Solve for x
    x = 23,426,989.52/6,077.14
  6. Step 6: Final answer
    x = 3,854.94

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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.