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Finding the Fourth Proportional to 6,229.86, 9,345.78 and 2,334.56

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Solution

The fourth proportional to 6,229.86, 9,345.78 and 2,334.56 is: 3,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.86 : 9,345.78 = 2,334.56 : x
  2. Step 2: Convert to fraction form
    6,229.86/9,345.78 = 2,334.56/x
  3. Step 3: Cross multiply
    6,229.86x = 9,345.78 × 2,334.56
  4. Step 4: Simplify right side
    6,229.86x = 21,818,284.16
  5. Step 5: Solve for x
    x = 21,818,284.16/6,229.86
  6. Step 6: Final answer
    x = 3,502.21

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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.