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Finding the Fourth Proportional to 6,184.19, 9,221.12 and 5,497.31

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Solution

The fourth proportional to 6,184.19, 9,221.12 and 5,497.31 is: 8,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.19 : 9,221.12 = 5,497.31 : x
  2. Step 2: Convert to fraction form
    6,184.19/9,221.12 = 5,497.31/x
  3. Step 3: Cross multiply
    6,184.19x = 9,221.12 × 5,497.31
  4. Step 4: Simplify right side
    6,184.19x = 50,691,355.19
  5. Step 5: Solve for x
    x = 50,691,355.19/6,184.19
  6. Step 6: Final answer
    x = 8,196.93

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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.