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Finding the Fourth Proportional to 9,146.72, 13,725.34 and 3,881.32

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Solution

The fourth proportional to 9,146.72, 13,725.34 and 3,881.32 is: 5,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.72 : 13,725.34 = 3,881.32 : x
  2. Step 2: Convert to fraction form
    9,146.72/13,725.34 = 3,881.32/x
  3. Step 3: Cross multiply
    9,146.72x = 13,725.34 × 3,881.32
  4. Step 4: Simplify right side
    9,146.72x = 53,272,436.65
  5. Step 5: Solve for x
    x = 53,272,436.65/9,146.72
  6. Step 6: Final answer
    x = 5,824.21

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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.