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Finding the Fourth Proportional to 6,468.69, 8,922.15 and 3,814.22

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Solution

The fourth proportional to 6,468.69, 8,922.15 and 3,814.22 is: 5,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.69 : 8,922.15 = 3,814.22 : x
  2. Step 2: Convert to fraction form
    6,468.69/8,922.15 = 3,814.22/x
  3. Step 3: Cross multiply
    6,468.69x = 8,922.15 × 3,814.22
  4. Step 4: Simplify right side
    6,468.69x = 34,031,065.28
  5. Step 5: Solve for x
    x = 34,031,065.28/6,468.69
  6. Step 6: Final answer
    x = 5,260.89

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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.