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Finding the Fourth Proportional to 9,154.26, 13,731.26 and 3,309.44

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Solution

The fourth proportional to 9,154.26, 13,731.26 and 3,309.44 is: 4,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.26 : 13,731.26 = 3,309.44 : x
  2. Step 2: Convert to fraction form
    9,154.26/13,731.26 = 3,309.44/x
  3. Step 3: Cross multiply
    9,154.26x = 13,731.26 × 3,309.44
  4. Step 4: Simplify right side
    9,154.26x = 45,442,695.89
  5. Step 5: Solve for x
    x = 45,442,695.89/9,154.26
  6. Step 6: Final answer
    x = 4,964.10

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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.