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Finding the Fourth Proportional to 6,349.90, 9,522.07 and 1,966.33

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Solution

The fourth proportional to 6,349.90, 9,522.07 and 1,966.33 is: 2,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.90 : 9,522.07 = 1,966.33 : x
  2. Step 2: Convert to fraction form
    6,349.90/9,522.07 = 1,966.33/x
  3. Step 3: Cross multiply
    6,349.90x = 9,522.07 × 1,966.33
  4. Step 4: Simplify right side
    6,349.90x = 18,723,531.90
  5. Step 5: Solve for x
    x = 18,723,531.90/6,349.90
  6. Step 6: Final answer
    x = 2,948.63

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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.