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Finding the Fourth Proportional to 6,414.90, 8,852.49 and 3,761.81

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Solution

The fourth proportional to 6,414.90, 8,852.49 and 3,761.81 is: 5,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.90 : 8,852.49 = 3,761.81 : x
  2. Step 2: Convert to fraction form
    6,414.90/8,852.49 = 3,761.81/x
  3. Step 3: Cross multiply
    6,414.90x = 8,852.49 × 3,761.81
  4. Step 4: Simplify right side
    6,414.90x = 33,301,374.34
  5. Step 5: Solve for x
    x = 33,301,374.34/6,414.90
  6. Step 6: Final answer
    x = 5,191.26

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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.