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Finding the Fourth Proportional to 6,745.54, 9,308.61 and 4,229.01

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Solution

The fourth proportional to 6,745.54, 9,308.61 and 4,229.01 is: 5,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.54 : 9,308.61 = 4,229.01 : x
  2. Step 2: Convert to fraction form
    6,745.54/9,308.61 = 4,229.01/x
  3. Step 3: Cross multiply
    6,745.54x = 9,308.61 × 4,229.01
  4. Step 4: Simplify right side
    6,745.54x = 39,366,204.78
  5. Step 5: Solve for x
    x = 39,366,204.78/6,745.54
  6. Step 6: Final answer
    x = 5,835.89

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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.