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Finding the Fourth Proportional to 6,222.74, 9,334.14 and 2,326.28

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Solution

The fourth proportional to 6,222.74, 9,334.14 and 2,326.28 is: 3,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.74 : 9,334.14 = 2,326.28 : x
  2. Step 2: Convert to fraction form
    6,222.74/9,334.14 = 2,326.28/x
  3. Step 3: Cross multiply
    6,222.74x = 9,334.14 × 2,326.28
  4. Step 4: Simplify right side
    6,222.74x = 21,713,823.20
  5. Step 5: Solve for x
    x = 21,713,823.20/6,222.74
  6. Step 6: Final answer
    x = 3,489.43

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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.