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Finding the Fourth Proportional to 6,712.54, 9,261.96 and 3,727.96

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Solution

The fourth proportional to 6,712.54, 9,261.96 and 3,727.96 is: 5,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.54 : 9,261.96 = 3,727.96 : x
  2. Step 2: Convert to fraction form
    6,712.54/9,261.96 = 3,727.96/x
  3. Step 3: Cross multiply
    6,712.54x = 9,261.96 × 3,727.96
  4. Step 4: Simplify right side
    6,712.54x = 34,528,216.40
  5. Step 5: Solve for x
    x = 34,528,216.40/6,712.54
  6. Step 6: Final answer
    x = 5,143.84

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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.