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Finding the Fourth Proportional to 9,147.86, 13,720.20 and 2,572.49

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Solution

The fourth proportional to 9,147.86, 13,720.20 and 2,572.49 is: 3,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.86 : 13,720.20 = 2,572.49 : x
  2. Step 2: Convert to fraction form
    9,147.86/13,720.20 = 2,572.49/x
  3. Step 3: Cross multiply
    9,147.86x = 13,720.20 × 2,572.49
  4. Step 4: Simplify right side
    9,147.86x = 35,295,077.30
  5. Step 5: Solve for x
    x = 35,295,077.30/9,147.86
  6. Step 6: Final answer
    x = 3,858.29

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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.