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Finding the Fourth Proportional to 6,378.38, 9,564.99 and 2,217.51

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Solution

The fourth proportional to 6,378.38, 9,564.99 and 2,217.51 is: 3,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.38 : 9,564.99 = 2,217.51 : x
  2. Step 2: Convert to fraction form
    6,378.38/9,564.99 = 2,217.51/x
  3. Step 3: Cross multiply
    6,378.38x = 9,564.99 × 2,217.51
  4. Step 4: Simplify right side
    6,378.38x = 21,210,452.66
  5. Step 5: Solve for x
    x = 21,210,452.66/6,378.38
  6. Step 6: Final answer
    x = 3,325.37

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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.