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Finding the Fourth Proportional to 6,524.17, 9,781.99 and 4,296.26

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Solution

The fourth proportional to 6,524.17, 9,781.99 and 4,296.26 is: 6,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.17 : 9,781.99 = 4,296.26 : x
  2. Step 2: Convert to fraction form
    6,524.17/9,781.99 = 4,296.26/x
  3. Step 3: Cross multiply
    6,524.17x = 9,781.99 × 4,296.26
  4. Step 4: Simplify right side
    6,524.17x = 42,025,972.36
  5. Step 5: Solve for x
    x = 42,025,972.36/6,524.17
  6. Step 6: Final answer
    x = 6,441.58

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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.