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Finding the Fourth Proportional to 9,242.19, 13,863.30 and 2,578.42

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Solution

The fourth proportional to 9,242.19, 13,863.30 and 2,578.42 is: 3,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.19 : 13,863.30 = 2,578.42 : x
  2. Step 2: Convert to fraction form
    9,242.19/13,863.30 = 2,578.42/x
  3. Step 3: Cross multiply
    9,242.19x = 13,863.30 × 2,578.42
  4. Step 4: Simplify right side
    9,242.19x = 35,745,397.09
  5. Step 5: Solve for x
    x = 35,745,397.09/9,242.19
  6. Step 6: Final answer
    x = 3,867.63

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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.