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Finding the Fourth Proportional to 6,883.46, 9,500.70 and 4,233.14

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Solution

The fourth proportional to 6,883.46, 9,500.70 and 4,233.14 is: 5,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.46 : 9,500.70 = 4,233.14 : x
  2. Step 2: Convert to fraction form
    6,883.46/9,500.70 = 4,233.14/x
  3. Step 3: Cross multiply
    6,883.46x = 9,500.70 × 4,233.14
  4. Step 4: Simplify right side
    6,883.46x = 40,217,793.20
  5. Step 5: Solve for x
    x = 40,217,793.20/6,883.46
  6. Step 6: Final answer
    x = 5,842.67

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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.