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Finding the Fourth Proportional to 9,229.05, 13,836.86 and 6,298.17

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Solution

The fourth proportional to 9,229.05, 13,836.86 and 6,298.17 is: 9,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.05 : 13,836.86 = 6,298.17 : x
  2. Step 2: Convert to fraction form
    9,229.05/13,836.86 = 6,298.17/x
  3. Step 3: Cross multiply
    9,229.05x = 13,836.86 × 6,298.17
  4. Step 4: Simplify right side
    9,229.05x = 87,146,865.06
  5. Step 5: Solve for x
    x = 87,146,865.06/9,229.05
  6. Step 6: Final answer
    x = 9,442.67

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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.