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Finding the Fourth Proportional to 9,229.32, 12,732.03 and 6,041.21

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Solution

The fourth proportional to 9,229.32, 12,732.03 and 6,041.21 is: 8,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.32 : 12,732.03 = 6,041.21 : x
  2. Step 2: Convert to fraction form
    9,229.32/12,732.03 = 6,041.21/x
  3. Step 3: Cross multiply
    9,229.32x = 12,732.03 × 6,041.21
  4. Step 4: Simplify right side
    9,229.32x = 76,916,866.96
  5. Step 5: Solve for x
    x = 76,916,866.96/9,229.32
  6. Step 6: Final answer
    x = 8,333.97

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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.