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Finding the Fourth Proportional to 9,242.46, 13,863.24 and 3,398.70

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Solution

The fourth proportional to 9,242.46, 13,863.24 and 3,398.70 is: 5,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.46 : 13,863.24 = 3,398.70 : x
  2. Step 2: Convert to fraction form
    9,242.46/13,863.24 = 3,398.70/x
  3. Step 3: Cross multiply
    9,242.46x = 13,863.24 × 3,398.70
  4. Step 4: Simplify right side
    9,242.46x = 47,116,993.79
  5. Step 5: Solve for x
    x = 47,116,993.79/9,242.46
  6. Step 6: Final answer
    x = 5,097.88

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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.