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Finding the Fourth Proportional to 9,146.57, 13,720.67 and 2,572.81

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Solution

The fourth proportional to 9,146.57, 13,720.67 and 2,572.81 is: 3,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.57 : 13,720.67 = 2,572.81 : x
  2. Step 2: Convert to fraction form
    9,146.57/13,720.67 = 2,572.81/x
  3. Step 3: Cross multiply
    9,146.57x = 13,720.67 × 2,572.81
  4. Step 4: Simplify right side
    9,146.57x = 35,300,676.98
  5. Step 5: Solve for x
    x = 35,300,676.98/9,146.57
  6. Step 6: Final answer
    x = 3,859.44

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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.