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Finding the Fourth Proportional to 9,138.07, 13,707.78 and 8,049.97

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Solution

The fourth proportional to 9,138.07, 13,707.78 and 8,049.97 is: 12,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.07 : 13,707.78 = 8,049.97 : x
  2. Step 2: Convert to fraction form
    9,138.07/13,707.78 = 8,049.97/x
  3. Step 3: Cross multiply
    9,138.07x = 13,707.78 × 8,049.97
  4. Step 4: Simplify right side
    9,138.07x = 110,347,217.77
  5. Step 5: Solve for x
    x = 110,347,217.77/9,138.07
  6. Step 6: Final answer
    x = 12,075.55

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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.