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Finding the Fourth Proportional to 6,726.60, 9,282.69 and 3,742.62

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Solution

The fourth proportional to 6,726.60, 9,282.69 and 3,742.62 is: 5,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.60 : 9,282.69 = 3,742.62 : x
  2. Step 2: Convert to fraction form
    6,726.60/9,282.69 = 3,742.62/x
  3. Step 3: Cross multiply
    6,726.60x = 9,282.69 × 3,742.62
  4. Step 4: Simplify right side
    6,726.60x = 34,741,581.25
  5. Step 5: Solve for x
    x = 34,741,581.25/6,726.60
  6. Step 6: Final answer
    x = 5,164.81

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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.