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Finding the Fourth Proportional to 9,052.26, 12,489.77 and 5,464.38

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Solution

The fourth proportional to 9,052.26, 12,489.77 and 5,464.38 is: 7,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.26 : 12,489.77 = 5,464.38 : x
  2. Step 2: Convert to fraction form
    9,052.26/12,489.77 = 5,464.38/x
  3. Step 3: Cross multiply
    9,052.26x = 12,489.77 × 5,464.38
  4. Step 4: Simplify right side
    9,052.26x = 68,248,849.39
  5. Step 5: Solve for x
    x = 68,248,849.39/9,052.26
  6. Step 6: Final answer
    x = 7,539.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.