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Finding the Fourth Proportional to 9,243.88, 13,872.30 and 5,342.92

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Solution

The fourth proportional to 9,243.88, 13,872.30 and 5,342.92 is: 8,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.88 : 13,872.30 = 5,342.92 : x
  2. Step 2: Convert to fraction form
    9,243.88/13,872.30 = 5,342.92/x
  3. Step 3: Cross multiply
    9,243.88x = 13,872.30 × 5,342.92
  4. Step 4: Simplify right side
    9,243.88x = 74,118,589.12
  5. Step 5: Solve for x
    x = 74,118,589.12/9,243.88
  6. Step 6: Final answer
    x = 8,018.13

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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.