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Finding the Fourth Proportional to 6,745.59, 9,308.67 and 3,913.02

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Solution

The fourth proportional to 6,745.59, 9,308.67 and 3,913.02 is: 5,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.59 : 9,308.67 = 3,913.02 : x
  2. Step 2: Convert to fraction form
    6,745.59/9,308.67 = 3,913.02/x
  3. Step 3: Cross multiply
    6,745.59x = 9,308.67 × 3,913.02
  4. Step 4: Simplify right side
    6,745.59x = 36,425,011.88
  5. Step 5: Solve for x
    x = 36,425,011.88/6,745.59
  6. Step 6: Final answer
    x = 5,399.83

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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.