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Finding the Fourth Proportional to 10,169.22, 14,026.29 and 9,332.63

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Solution

The fourth proportional to 10,169.22, 14,026.29 and 9,332.63 is: 12,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.22 : 14,026.29 = 9,332.63 : x
  2. Step 2: Convert to fraction form
    10,169.22/14,026.29 = 9,332.63/x
  3. Step 3: Cross multiply
    10,169.22x = 14,026.29 × 9,332.63
  4. Step 4: Simplify right side
    10,169.22x = 130,902,174.84
  5. Step 5: Solve for x
    x = 130,902,174.84/10,169.22
  6. Step 6: Final answer
    x = 12,872.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.