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Finding the Fourth Proportional to 6,665.76, 9,200.52 and 3,833.44

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Solution

The fourth proportional to 6,665.76, 9,200.52 and 3,833.44 is: 5,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.76 : 9,200.52 = 3,833.44 : x
  2. Step 2: Convert to fraction form
    6,665.76/9,200.52 = 3,833.44/x
  3. Step 3: Cross multiply
    6,665.76x = 9,200.52 × 3,833.44
  4. Step 4: Simplify right side
    6,665.76x = 35,269,641.39
  5. Step 5: Solve for x
    x = 35,269,641.39/6,665.76
  6. Step 6: Final answer
    x = 5,291.17

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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.