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Finding the Fourth Proportional to 9,233.84, 12,753.28 and 6,727.20

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Solution

The fourth proportional to 9,233.84, 12,753.28 and 6,727.20 is: 9,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.84 : 12,753.28 = 6,727.20 : x
  2. Step 2: Convert to fraction form
    9,233.84/12,753.28 = 6,727.20/x
  3. Step 3: Cross multiply
    9,233.84x = 12,753.28 × 6,727.20
  4. Step 4: Simplify right side
    9,233.84x = 85,793,865.22
  5. Step 5: Solve for x
    x = 85,793,865.22/9,233.84
  6. Step 6: Final answer
    x = 9,291.24

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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.