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Finding the Fourth Proportional to 9,169.70, 13,754.65 and 2,929.66

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Solution

The fourth proportional to 9,169.70, 13,754.65 and 2,929.66 is: 4,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.70 : 13,754.65 = 2,929.66 : x
  2. Step 2: Convert to fraction form
    9,169.70/13,754.65 = 2,929.66/x
  3. Step 3: Cross multiply
    9,169.70x = 13,754.65 × 2,929.66
  4. Step 4: Simplify right side
    9,169.70x = 40,296,489.63
  5. Step 5: Solve for x
    x = 40,296,489.63/9,169.70
  6. Step 6: Final answer
    x = 4,394.53

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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.