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Finding the Fourth Proportional to 6,229.98, 9,354.42 and 3,775.68

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Solution

The fourth proportional to 6,229.98, 9,354.42 and 3,775.68 is: 5,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.98 : 9,354.42 = 3,775.68 : x
  2. Step 2: Convert to fraction form
    6,229.98/9,354.42 = 3,775.68/x
  3. Step 3: Cross multiply
    6,229.98x = 9,354.42 × 3,775.68
  4. Step 4: Simplify right side
    6,229.98x = 35,319,296.51
  5. Step 5: Solve for x
    x = 35,319,296.51/6,229.98
  6. Step 6: Final answer
    x = 5,669.25

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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.