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Finding the Fourth Proportional to 9,146.96, 13,720.48 and 2,573.24

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Solution

The fourth proportional to 9,146.96, 13,720.48 and 2,573.24 is: 3,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.96 : 13,720.48 = 2,573.24 : x
  2. Step 2: Convert to fraction form
    9,146.96/13,720.48 = 2,573.24/x
  3. Step 3: Cross multiply
    9,146.96x = 13,720.48 × 2,573.24
  4. Step 4: Simplify right side
    9,146.96x = 35,306,087.96
  5. Step 5: Solve for x
    x = 35,306,087.96/9,146.96
  6. Step 6: Final answer
    x = 3,859.87

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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.