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Finding the Fourth Proportional to 6,343.22, 8,747.94 and 5,284.50

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Solution

The fourth proportional to 6,343.22, 8,747.94 and 5,284.50 is: 7,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.22 : 8,747.94 = 5,284.50 : x
  2. Step 2: Convert to fraction form
    6,343.22/8,747.94 = 5,284.50/x
  3. Step 3: Cross multiply
    6,343.22x = 8,747.94 × 5,284.50
  4. Step 4: Simplify right side
    6,343.22x = 46,228,488.93
  5. Step 5: Solve for x
    x = 46,228,488.93/6,343.22
  6. Step 6: Final answer
    x = 7,287.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.