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Finding the Fourth Proportional to 9,449.50, 14,174.85 and 2,876.17

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Solution

The fourth proportional to 9,449.50, 14,174.85 and 2,876.17 is: 4,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.50 : 14,174.85 = 2,876.17 : x
  2. Step 2: Convert to fraction form
    9,449.50/14,174.85 = 2,876.17/x
  3. Step 3: Cross multiply
    9,449.50x = 14,174.85 × 2,876.17
  4. Step 4: Simplify right side
    9,449.50x = 40,769,278.32
  5. Step 5: Solve for x
    x = 40,769,278.32/9,449.50
  6. Step 6: Final answer
    x = 4,314.44

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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.