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Finding the Fourth Proportional to 9,262.28, 12,781.84 and 5,013.25

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Solution

The fourth proportional to 9,262.28, 12,781.84 and 5,013.25 is: 6,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.28 : 12,781.84 = 5,013.25 : x
  2. Step 2: Convert to fraction form
    9,262.28/12,781.84 = 5,013.25/x
  3. Step 3: Cross multiply
    9,262.28x = 12,781.84 × 5,013.25
  4. Step 4: Simplify right side
    9,262.28x = 64,078,559.38
  5. Step 5: Solve for x
    x = 64,078,559.38/9,262.28
  6. Step 6: Final answer
    x = 6,918.23

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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.