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Finding the Fourth Proportional to 6,024.14, 9,040.06 and 2,561.40

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Solution

The fourth proportional to 6,024.14, 9,040.06 and 2,561.40 is: 3,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.14 : 9,040.06 = 2,561.40 : x
  2. Step 2: Convert to fraction form
    6,024.14/9,040.06 = 2,561.40/x
  3. Step 3: Cross multiply
    6,024.14x = 9,040.06 × 2,561.40
  4. Step 4: Simplify right side
    6,024.14x = 23,155,209.68
  5. Step 5: Solve for x
    x = 23,155,209.68/6,024.14
  6. Step 6: Final answer
    x = 3,843.74

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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.