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Finding the Fourth Proportional to 6,296.02, 9,390.91 and 5,467.78

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Solution

The fourth proportional to 6,296.02, 9,390.91 and 5,467.78 is: 8,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.02 : 9,390.91 = 5,467.78 : x
  2. Step 2: Convert to fraction form
    6,296.02/9,390.91 = 5,467.78/x
  3. Step 3: Cross multiply
    6,296.02x = 9,390.91 × 5,467.78
  4. Step 4: Simplify right side
    6,296.02x = 51,347,429.88
  5. Step 5: Solve for x
    x = 51,347,429.88/6,296.02
  6. Step 6: Final answer
    x = 8,155.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.