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Finding the Fourth Proportional to 9,872.13, 13,623.15 and 5,396.04

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Solution

The fourth proportional to 9,872.13, 13,623.15 and 5,396.04 is: 7,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.13 : 13,623.15 = 5,396.04 : x
  2. Step 2: Convert to fraction form
    9,872.13/13,623.15 = 5,396.04/x
  3. Step 3: Cross multiply
    9,872.13x = 13,623.15 × 5,396.04
  4. Step 4: Simplify right side
    9,872.13x = 73,511,062.33
  5. Step 5: Solve for x
    x = 73,511,062.33/9,872.13
  6. Step 6: Final answer
    x = 7,446.32

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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.