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Finding the Fourth Proportional to 6,876.24, 9,490.32 and 4,044.12

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Solution

The fourth proportional to 6,876.24, 9,490.32 and 4,044.12 is: 5,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.24 : 9,490.32 = 4,044.12 : x
  2. Step 2: Convert to fraction form
    6,876.24/9,490.32 = 4,044.12/x
  3. Step 3: Cross multiply
    6,876.24x = 9,490.32 × 4,044.12
  4. Step 4: Simplify right side
    6,876.24x = 38,379,992.92
  5. Step 5: Solve for x
    x = 38,379,992.92/6,876.24
  6. Step 6: Final answer
    x = 5,581.54

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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.