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Finding the Fourth Proportional to 9,872.92, 13,627.74 and 9,544.60

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Solution

The fourth proportional to 9,872.92, 13,627.74 and 9,544.60 is: 13,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.92 : 13,627.74 = 9,544.60 : x
  2. Step 2: Convert to fraction form
    9,872.92/13,627.74 = 9,544.60/x
  3. Step 3: Cross multiply
    9,872.92x = 13,627.74 × 9,544.60
  4. Step 4: Simplify right side
    9,872.92x = 130,071,327.20
  5. Step 5: Solve for x
    x = 130,071,327.20/9,872.92
  6. Step 6: Final answer
    x = 13,174.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.