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Finding the Fourth Proportional to 9,251.39, 13,876.74 and 4,314.21

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Solution

The fourth proportional to 9,251.39, 13,876.74 and 4,314.21 is: 6,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.39 : 13,876.74 = 4,314.21 : x
  2. Step 2: Convert to fraction form
    9,251.39/13,876.74 = 4,314.21/x
  3. Step 3: Cross multiply
    9,251.39x = 13,876.74 × 4,314.21
  4. Step 4: Simplify right side
    9,251.39x = 59,867,170.48
  5. Step 5: Solve for x
    x = 59,867,170.48/9,251.39
  6. Step 6: Final answer
    x = 6,471.16

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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.