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Finding the Fourth Proportional to 6,332.26, 8,738.53 and 3,814.48

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Solution

The fourth proportional to 6,332.26, 8,738.53 and 3,814.48 is: 5,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.26 : 8,738.53 = 3,814.48 : x
  2. Step 2: Convert to fraction form
    6,332.26/8,738.53 = 3,814.48/x
  3. Step 3: Cross multiply
    6,332.26x = 8,738.53 × 3,814.48
  4. Step 4: Simplify right side
    6,332.26x = 33,332,916.53
  5. Step 5: Solve for x
    x = 33,332,916.53/6,332.26
  6. Step 6: Final answer
    x = 5,263.99

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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.