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Finding the Fourth Proportional to 9,119.62, 13,661.57 and 8,127.84

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Solution

The fourth proportional to 9,119.62, 13,661.57 and 8,127.84 is: 12,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.62 : 13,661.57 = 8,127.84 : x
  2. Step 2: Convert to fraction form
    9,119.62/13,661.57 = 8,127.84/x
  3. Step 3: Cross multiply
    9,119.62x = 13,661.57 × 8,127.84
  4. Step 4: Simplify right side
    9,119.62x = 111,039,055.11
  5. Step 5: Solve for x
    x = 111,039,055.11/9,119.62
  6. Step 6: Final answer
    x = 12,175.84

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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.