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Finding the Fourth Proportional to 6,428.69, 9,642.86 and 3,468.43

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Solution

The fourth proportional to 6,428.69, 9,642.86 and 3,468.43 is: 5,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.69 : 9,642.86 = 3,468.43 : x
  2. Step 2: Convert to fraction form
    6,428.69/9,642.86 = 3,468.43/x
  3. Step 3: Cross multiply
    6,428.69x = 9,642.86 × 3,468.43
  4. Step 4: Simplify right side
    6,428.69x = 33,445,584.91
  5. Step 5: Solve for x
    x = 33,445,584.91/6,428.69
  6. Step 6: Final answer
    x = 5,202.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.