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Finding the Fourth Proportional to 6,726.82, 9,283.06 and 3,742.78

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Solution

The fourth proportional to 6,726.82, 9,283.06 and 3,742.78 is: 5,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.82 : 9,283.06 = 3,742.78 : x
  2. Step 2: Convert to fraction form
    6,726.82/9,283.06 = 3,742.78/x
  3. Step 3: Cross multiply
    6,726.82x = 9,283.06 × 3,742.78
  4. Step 4: Simplify right side
    6,726.82x = 34,744,441.95
  5. Step 5: Solve for x
    x = 34,744,441.95/6,726.82
  6. Step 6: Final answer
    x = 5,165.06

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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.