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Finding the Fourth Proportional to 9,257.36, 13,872.12 and 3,705.20

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Solution

The fourth proportional to 9,257.36, 13,872.12 and 3,705.20 is: 5,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.36 : 13,872.12 = 3,705.20 : x
  2. Step 2: Convert to fraction form
    9,257.36/13,872.12 = 3,705.20/x
  3. Step 3: Cross multiply
    9,257.36x = 13,872.12 × 3,705.20
  4. Step 4: Simplify right side
    9,257.36x = 51,398,979.02
  5. Step 5: Solve for x
    x = 51,398,979.02/9,257.36
  6. Step 6: Final answer
    x = 5,552.23

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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.