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Finding the Fourth Proportional to 6,266.47, 9,399.39 and 2,567.77

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Solution

The fourth proportional to 6,266.47, 9,399.39 and 2,567.77 is: 3,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.47 : 9,399.39 = 2,567.77 : x
  2. Step 2: Convert to fraction form
    6,266.47/9,399.39 = 2,567.77/x
  3. Step 3: Cross multiply
    6,266.47x = 9,399.39 × 2,567.77
  4. Step 4: Simplify right side
    6,266.47x = 24,135,471.66
  5. Step 5: Solve for x
    x = 24,135,471.66/6,266.47
  6. Step 6: Final answer
    x = 3,851.53

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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.