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Finding the Fourth Proportional to 6,552.32, 9,042.72 and 4,196.48

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Solution

The fourth proportional to 6,552.32, 9,042.72 and 4,196.48 is: 5,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.32 : 9,042.72 = 4,196.48 : x
  2. Step 2: Convert to fraction form
    6,552.32/9,042.72 = 4,196.48/x
  3. Step 3: Cross multiply
    6,552.32x = 9,042.72 × 4,196.48
  4. Step 4: Simplify right side
    6,552.32x = 37,947,593.63
  5. Step 5: Solve for x
    x = 37,947,593.63/6,552.32
  6. Step 6: Final answer
    x = 5,791.47

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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.