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Finding the Fourth Proportional to 9,338.04, 12,882.41 and 6,147.22

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Solution

The fourth proportional to 9,338.04, 12,882.41 and 6,147.22 is: 8,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.04 : 12,882.41 = 6,147.22 : x
  2. Step 2: Convert to fraction form
    9,338.04/12,882.41 = 6,147.22/x
  3. Step 3: Cross multiply
    9,338.04x = 12,882.41 × 6,147.22
  4. Step 4: Simplify right side
    9,338.04x = 79,190,977.66
  5. Step 5: Solve for x
    x = 79,190,977.66/9,338.04
  6. Step 6: Final answer
    x = 8,480.48

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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.