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Finding the Fourth Proportional to 6,224.74, 9,340.10 and 3,884.14

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Solution

The fourth proportional to 6,224.74, 9,340.10 and 3,884.14 is: 5,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.74 : 9,340.10 = 3,884.14 : x
  2. Step 2: Convert to fraction form
    6,224.74/9,340.10 = 3,884.14/x
  3. Step 3: Cross multiply
    6,224.74x = 9,340.10 × 3,884.14
  4. Step 4: Simplify right side
    6,224.74x = 36,278,256.01
  5. Step 5: Solve for x
    x = 36,278,256.01/6,224.74
  6. Step 6: Final answer
    x = 5,828.08

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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.