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Finding the Fourth Proportional to 9,872.91, 13,606.25 and 8,094.15

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Solution

The fourth proportional to 9,872.91, 13,606.25 and 8,094.15 is: 11,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.91 : 13,606.25 = 8,094.15 : x
  2. Step 2: Convert to fraction form
    9,872.91/13,606.25 = 8,094.15/x
  3. Step 3: Cross multiply
    9,872.91x = 13,606.25 × 8,094.15
  4. Step 4: Simplify right side
    9,872.91x = 110,130,987.97
  5. Step 5: Solve for x
    x = 110,130,987.97/9,872.91
  6. Step 6: Final answer
    x = 11,154.87

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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.