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Finding the Fourth Proportional to 6,217.34, 9,330.66 and 3,880.76

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Solution

The fourth proportional to 6,217.34, 9,330.66 and 3,880.76 is: 5,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.34 : 9,330.66 = 3,880.76 : x
  2. Step 2: Convert to fraction form
    6,217.34/9,330.66 = 3,880.76/x
  3. Step 3: Cross multiply
    6,217.34x = 9,330.66 × 3,880.76
  4. Step 4: Simplify right side
    6,217.34x = 36,210,052.10
  5. Step 5: Solve for x
    x = 36,210,052.10/6,217.34
  6. Step 6: Final answer
    x = 5,824.04

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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.