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Finding the Fourth Proportional to 6,182.69, 9,218.88 and 5,495.81

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Solution

The fourth proportional to 6,182.69, 9,218.88 and 5,495.81 is: 8,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.69 : 9,218.88 = 5,495.81 : x
  2. Step 2: Convert to fraction form
    6,182.69/9,218.88 = 5,495.81/x
  3. Step 3: Cross multiply
    6,182.69x = 9,218.88 × 5,495.81
  4. Step 4: Simplify right side
    6,182.69x = 50,665,212.89
  5. Step 5: Solve for x
    x = 50,665,212.89/6,182.69
  6. Step 6: Final answer
    x = 8,194.69

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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.