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Finding the Fourth Proportional to 9,508.12, 14,264.38 and 2,934.12

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Solution

The fourth proportional to 9,508.12, 14,264.38 and 2,934.12 is: 4,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.12 : 14,264.38 = 2,934.12 : x
  2. Step 2: Convert to fraction form
    9,508.12/14,264.38 = 2,934.12/x
  3. Step 3: Cross multiply
    9,508.12x = 14,264.38 × 2,934.12
  4. Step 4: Simplify right side
    9,508.12x = 41,853,402.65
  5. Step 5: Solve for x
    x = 41,853,402.65/9,508.12
  6. Step 6: Final answer
    x = 4,401.86

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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.