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Finding the Fourth Proportional to 6,184.69, 9,221.87 and 5,497.81

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Solution

The fourth proportional to 6,184.69, 9,221.87 and 5,497.81 is: 8,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.69 : 9,221.87 = 5,497.81 : x
  2. Step 2: Convert to fraction form
    6,184.69/9,221.87 = 5,497.81/x
  3. Step 3: Cross multiply
    6,184.69x = 9,221.87 × 5,497.81
  4. Step 4: Simplify right side
    6,184.69x = 50,700,089.10
  5. Step 5: Solve for x
    x = 50,700,089.10/6,184.69
  6. Step 6: Final answer
    x = 8,197.68

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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.