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Finding the Fourth Proportional to 6,233.32, 9,354.03 and 5,732.74

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Solution

The fourth proportional to 6,233.32, 9,354.03 and 5,732.74 is: 8,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.32 : 9,354.03 = 5,732.74 : x
  2. Step 2: Convert to fraction form
    6,233.32/9,354.03 = 5,732.74/x
  3. Step 3: Cross multiply
    6,233.32x = 9,354.03 × 5,732.74
  4. Step 4: Simplify right side
    6,233.32x = 53,624,221.94
  5. Step 5: Solve for x
    x = 53,624,221.94/6,233.32
  6. Step 6: Final answer
    x = 8,602.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.