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Finding the Fourth Proportional to 10,042.97, 13,860.92 and 9,600.03

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Solution

The fourth proportional to 10,042.97, 13,860.92 and 9,600.03 is: 13,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.97 : 13,860.92 = 9,600.03 : x
  2. Step 2: Convert to fraction form
    10,042.97/13,860.92 = 9,600.03/x
  3. Step 3: Cross multiply
    10,042.97x = 13,860.92 × 9,600.03
  4. Step 4: Simplify right side
    10,042.97x = 133,065,271.83
  5. Step 5: Solve for x
    x = 133,065,271.83/10,042.97
  6. Step 6: Final answer
    x = 13,249.60

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