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Finding the Fourth Proportional to 10,201.26, 15,302.97 and 9,042.06

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Solution

The fourth proportional to 10,201.26, 15,302.97 and 9,042.06 is: 13,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.26 : 15,302.97 = 9,042.06 : x
  2. Step 2: Convert to fraction form
    10,201.26/15,302.97 = 9,042.06/x
  3. Step 3: Cross multiply
    10,201.26x = 15,302.97 × 9,042.06
  4. Step 4: Simplify right side
    10,201.26x = 138,370,372.92
  5. Step 5: Solve for x
    x = 138,370,372.92/10,201.26
  6. Step 6: Final answer
    x = 13,564.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.