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Finding the Fourth Proportional to 6,217.73, 9,322.86 and 4,218.87

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Solution

The fourth proportional to 6,217.73, 9,322.86 and 4,218.87 is: 6,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.73 : 9,322.86 = 4,218.87 : x
  2. Step 2: Convert to fraction form
    6,217.73/9,322.86 = 4,218.87/x
  3. Step 3: Cross multiply
    6,217.73x = 9,322.86 × 4,218.87
  4. Step 4: Simplify right side
    6,217.73x = 39,331,934.37
  5. Step 5: Solve for x
    x = 39,331,934.37/6,217.73
  6. Step 6: Final answer
    x = 6,325.77

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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.