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Finding the Fourth Proportional to 9,243.14, 13,863.08 and 3,002.24

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Solution

The fourth proportional to 9,243.14, 13,863.08 and 3,002.24 is: 4,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.14 : 13,863.08 = 3,002.24 : x
  2. Step 2: Convert to fraction form
    9,243.14/13,863.08 = 3,002.24/x
  3. Step 3: Cross multiply
    9,243.14x = 13,863.08 × 3,002.24
  4. Step 4: Simplify right side
    9,243.14x = 41,620,335.46
  5. Step 5: Solve for x
    x = 41,620,335.46/9,243.14
  6. Step 6: Final answer
    x = 4,502.84

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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.