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Finding the Fourth Proportional to 6,229.51, 9,344.11 and 2,281.67

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Solution

The fourth proportional to 6,229.51, 9,344.11 and 2,281.67 is: 3,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.51 : 9,344.11 = 2,281.67 : x
  2. Step 2: Convert to fraction form
    6,229.51/9,344.11 = 2,281.67/x
  3. Step 3: Cross multiply
    6,229.51x = 9,344.11 × 2,281.67
  4. Step 4: Simplify right side
    6,229.51x = 21,320,175.46
  5. Step 5: Solve for x
    x = 21,320,175.46/6,229.51
  6. Step 6: Final answer
    x = 3,422.45

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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.