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Finding the Fourth Proportional to 6,727.01, 9,282.43 and 3,742.63

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Solution

The fourth proportional to 6,727.01, 9,282.43 and 3,742.63 is: 5,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.01 : 9,282.43 = 3,742.63 : x
  2. Step 2: Convert to fraction form
    6,727.01/9,282.43 = 3,742.63/x
  3. Step 3: Cross multiply
    6,727.01x = 9,282.43 × 3,742.63
  4. Step 4: Simplify right side
    6,727.01x = 34,740,682.46
  5. Step 5: Solve for x
    x = 34,740,682.46/6,727.01
  6. Step 6: Final answer
    x = 5,164.36

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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.