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Finding the Fourth Proportional to 6,682.61, 9,224.00 and 4,324.91

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Solution

The fourth proportional to 6,682.61, 9,224.00 and 4,324.91 is: 5,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.61 : 9,224.00 = 4,324.91 : x
  2. Step 2: Convert to fraction form
    6,682.61/9,224.00 = 4,324.91/x
  3. Step 3: Cross multiply
    6,682.61x = 9,224.00 × 4,324.91
  4. Step 4: Simplify right side
    6,682.61x = 39,892,902.10
  5. Step 5: Solve for x
    x = 39,892,902.10/6,682.61
  6. Step 6: Final answer
    x = 5,969.66

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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.