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Finding the Fourth Proportional to 6,266.35, 9,399.32 and 2,567.62

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Solution

The fourth proportional to 6,266.35, 9,399.32 and 2,567.62 is: 3,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.35 : 9,399.32 = 2,567.62 : x
  2. Step 2: Convert to fraction form
    6,266.35/9,399.32 = 2,567.62/x
  3. Step 3: Cross multiply
    6,266.35x = 9,399.32 × 2,567.62
  4. Step 4: Simplify right side
    6,266.35x = 24,133,882.02
  5. Step 5: Solve for x
    x = 24,133,882.02/6,266.35
  6. Step 6: Final answer
    x = 3,851.35

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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.