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Finding the Fourth Proportional to 6,414.17, 8,853.66 and 3,761.51

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Solution

The fourth proportional to 6,414.17, 8,853.66 and 3,761.51 is: 5,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.17 : 8,853.66 = 3,761.51 : x
  2. Step 2: Convert to fraction form
    6,414.17/8,853.66 = 3,761.51/x
  3. Step 3: Cross multiply
    6,414.17x = 8,853.66 × 3,761.51
  4. Step 4: Simplify right side
    6,414.17x = 33,303,086.36
  5. Step 5: Solve for x
    x = 33,303,086.36/6,414.17
  6. Step 6: Final answer
    x = 5,192.12

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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.