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Finding the Fourth Proportional to 9,146.72, 13,720.13 and 2,572.97

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Solution

The fourth proportional to 9,146.72, 13,720.13 and 2,572.97 is: 3,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.72 : 13,720.13 = 2,572.97 : x
  2. Step 2: Convert to fraction form
    9,146.72/13,720.13 = 2,572.97/x
  3. Step 3: Cross multiply
    9,146.72x = 13,720.13 × 2,572.97
  4. Step 4: Simplify right side
    9,146.72x = 35,301,420.72
  5. Step 5: Solve for x
    x = 35,301,420.72/9,146.72
  6. Step 6: Final answer
    x = 3,859.46

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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.