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Finding the Fourth Proportional to 9,354.70, 14,034.84 and 2,781.10

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Solution

The fourth proportional to 9,354.70, 14,034.84 and 2,781.10 is: 4,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.70 : 14,034.84 = 2,781.10 : x
  2. Step 2: Convert to fraction form
    9,354.70/14,034.84 = 2,781.10/x
  3. Step 3: Cross multiply
    9,354.70x = 14,034.84 × 2,781.10
  4. Step 4: Simplify right side
    9,354.70x = 39,032,293.52
  5. Step 5: Solve for x
    x = 39,032,293.52/9,354.70
  6. Step 6: Final answer
    x = 4,172.48

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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.