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Finding the Fourth Proportional to 9,154.10, 13,729.32 and 2,578.52

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Solution

The fourth proportional to 9,154.10, 13,729.32 and 2,578.52 is: 3,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.10 : 13,729.32 = 2,578.52 : x
  2. Step 2: Convert to fraction form
    9,154.10/13,729.32 = 2,578.52/x
  3. Step 3: Cross multiply
    9,154.10x = 13,729.32 × 2,578.52
  4. Step 4: Simplify right side
    9,154.10x = 35,401,257.56
  5. Step 5: Solve for x
    x = 35,401,257.56/9,154.10
  6. Step 6: Final answer
    x = 3,867.26

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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.