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Finding the Fourth Proportional to 6,351.69, 9,530.22 and 3,426.58

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Solution

The fourth proportional to 6,351.69, 9,530.22 and 3,426.58 is: 5,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.69 : 9,530.22 = 3,426.58 : x
  2. Step 2: Convert to fraction form
    6,351.69/9,530.22 = 3,426.58/x
  3. Step 3: Cross multiply
    6,351.69x = 9,530.22 × 3,426.58
  4. Step 4: Simplify right side
    6,351.69x = 32,656,061.25
  5. Step 5: Solve for x
    x = 32,656,061.25/6,351.69
  6. Step 6: Final answer
    x = 5,141.32

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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.