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Finding the Fourth Proportional to 9,892.20, 14,832.90 and 4,042.20

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Solution

The fourth proportional to 9,892.20, 14,832.90 and 4,042.20 is: 6,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.20 : 14,832.90 = 4,042.20 : x
  2. Step 2: Convert to fraction form
    9,892.20/14,832.90 = 4,042.20/x
  3. Step 3: Cross multiply
    9,892.20x = 14,832.90 × 4,042.20
  4. Step 4: Simplify right side
    9,892.20x = 59,957,548.38
  5. Step 5: Solve for x
    x = 59,957,548.38/9,892.20
  6. Step 6: Final answer
    x = 6,061.09

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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.