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Finding the Fourth Proportional to 6,727.07, 9,281.63 and 3,742.22

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Solution

The fourth proportional to 6,727.07, 9,281.63 and 3,742.22 is: 5,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.07 : 9,281.63 = 3,742.22 : x
  2. Step 2: Convert to fraction form
    6,727.07/9,281.63 = 3,742.22/x
  3. Step 3: Cross multiply
    6,727.07x = 9,281.63 × 3,742.22
  4. Step 4: Simplify right side
    6,727.07x = 34,733,901.42
  5. Step 5: Solve for x
    x = 34,733,901.42/6,727.07
  6. Step 6: Final answer
    x = 5,163.30

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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.