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Finding the Fourth Proportional to 6,809.76, 9,398.15 and 4,576.29

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Solution

The fourth proportional to 6,809.76, 9,398.15 and 4,576.29 is: 6,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.76 : 9,398.15 = 4,576.29 : x
  2. Step 2: Convert to fraction form
    6,809.76/9,398.15 = 4,576.29/x
  3. Step 3: Cross multiply
    6,809.76x = 9,398.15 × 4,576.29
  4. Step 4: Simplify right side
    6,809.76x = 43,008,618.90
  5. Step 5: Solve for x
    x = 43,008,618.90/6,809.76
  6. Step 6: Final answer
    x = 6,315.73

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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.