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Finding the Fourth Proportional to 6,217.80, 9,324.76 and 2,056.87

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Solution

The fourth proportional to 6,217.80, 9,324.76 and 2,056.87 is: 3,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.80 : 9,324.76 = 2,056.87 : x
  2. Step 2: Convert to fraction form
    6,217.80/9,324.76 = 2,056.87/x
  3. Step 3: Cross multiply
    6,217.80x = 9,324.76 × 2,056.87
  4. Step 4: Simplify right side
    6,217.80x = 19,179,829.47
  5. Step 5: Solve for x
    x = 19,179,829.47/6,217.80
  6. Step 6: Final answer
    x = 3,084.67

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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.