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Finding the Fourth Proportional to 6,727.60, 9,284.07 and 3,743.47

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Solution

The fourth proportional to 6,727.60, 9,284.07 and 3,743.47 is: 5,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.60 : 9,284.07 = 3,743.47 : x
  2. Step 2: Convert to fraction form
    6,727.60/9,284.07 = 3,743.47/x
  3. Step 3: Cross multiply
    6,727.60x = 9,284.07 × 3,743.47
  4. Step 4: Simplify right side
    6,727.60x = 34,754,637.52
  5. Step 5: Solve for x
    x = 34,754,637.52/6,727.60
  6. Step 6: Final answer
    x = 5,165.98

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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.