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Finding the Fourth Proportional to 9,034.62, 13,553.99 and 4,874.52

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Solution

The fourth proportional to 9,034.62, 13,553.99 and 4,874.52 is: 7,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.62 : 13,553.99 = 4,874.52 : x
  2. Step 2: Convert to fraction form
    9,034.62/13,553.99 = 4,874.52/x
  3. Step 3: Cross multiply
    9,034.62x = 13,553.99 × 4,874.52
  4. Step 4: Simplify right side
    9,034.62x = 66,069,195.33
  5. Step 5: Solve for x
    x = 66,069,195.33/9,034.62
  6. Step 6: Final answer
    x = 7,312.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.