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Finding the Fourth Proportional to 6,552.42, 9,042.21 and 3,568.29

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Solution

The fourth proportional to 6,552.42, 9,042.21 and 3,568.29 is: 4,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.42 : 9,042.21 = 3,568.29 : x
  2. Step 2: Convert to fraction form
    6,552.42/9,042.21 = 3,568.29/x
  3. Step 3: Cross multiply
    6,552.42x = 9,042.21 × 3,568.29
  4. Step 4: Simplify right side
    6,552.42x = 32,265,227.52
  5. Step 5: Solve for x
    x = 32,265,227.52/6,552.42
  6. Step 6: Final answer
    x = 4,924.17

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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.