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Finding the Fourth Proportional to 10,026.72, 13,842.09 and 9,364.14

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Solution

The fourth proportional to 10,026.72, 13,842.09 and 9,364.14 is: 12,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.72 : 13,842.09 = 9,364.14 : x
  2. Step 2: Convert to fraction form
    10,026.72/13,842.09 = 9,364.14/x
  3. Step 3: Cross multiply
    10,026.72x = 13,842.09 × 9,364.14
  4. Step 4: Simplify right side
    10,026.72x = 129,619,268.65
  5. Step 5: Solve for x
    x = 129,619,268.65/10,026.72
  6. Step 6: Final answer
    x = 12,927.38

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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.