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Finding the Fourth Proportional to 10,216.33, 14,100.17 and 9,549.29

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Solution

The fourth proportional to 10,216.33, 14,100.17 and 9,549.29 is: 13,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.33 : 14,100.17 = 9,549.29 : x
  2. Step 2: Convert to fraction form
    10,216.33/14,100.17 = 9,549.29/x
  3. Step 3: Cross multiply
    10,216.33x = 14,100.17 × 9,549.29
  4. Step 4: Simplify right side
    10,216.33x = 134,646,612.38
  5. Step 5: Solve for x
    x = 134,646,612.38/10,216.33
  6. Step 6: Final answer
    x = 13,179.55

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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.