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Finding the Fourth Proportional to 6,197.22, 9,295.83 and 4,356.56

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Solution

The fourth proportional to 6,197.22, 9,295.83 and 4,356.56 is: 6,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.22 : 9,295.83 = 4,356.56 : x
  2. Step 2: Convert to fraction form
    6,197.22/9,295.83 = 4,356.56/x
  3. Step 3: Cross multiply
    6,197.22x = 9,295.83 × 4,356.56
  4. Step 4: Simplify right side
    6,197.22x = 40,497,794.67
  5. Step 5: Solve for x
    x = 40,497,794.67/6,197.22
  6. Step 6: Final answer
    x = 6,534.83

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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.