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Finding the Fourth Proportional to 6,295.22, 9,437.79 and 4,217.30

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Solution

The fourth proportional to 6,295.22, 9,437.79 and 4,217.30 is: 6,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.22 : 9,437.79 = 4,217.30 : x
  2. Step 2: Convert to fraction form
    6,295.22/9,437.79 = 4,217.30/x
  3. Step 3: Cross multiply
    6,295.22x = 9,437.79 × 4,217.30
  4. Step 4: Simplify right side
    6,295.22x = 39,801,991.77
  5. Step 5: Solve for x
    x = 39,801,991.77/6,295.22
  6. Step 6: Final answer
    x = 6,322.57

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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.