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Finding the Fourth Proportional to 9,334.82, 12,882.40 and 5,301.44

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Solution

The fourth proportional to 9,334.82, 12,882.40 and 5,301.44 is: 7,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.82 : 12,882.40 = 5,301.44 : x
  2. Step 2: Convert to fraction form
    9,334.82/12,882.40 = 5,301.44/x
  3. Step 3: Cross multiply
    9,334.82x = 12,882.40 × 5,301.44
  4. Step 4: Simplify right side
    9,334.82x = 68,295,270.66
  5. Step 5: Solve for x
    x = 68,295,270.66/9,334.82
  6. Step 6: Final answer
    x = 7,316.19

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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.