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Finding the Fourth Proportional to 6,426.91, 9,641.14 and 2,266.06

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Solution

The fourth proportional to 6,426.91, 9,641.14 and 2,266.06 is: 3,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.91 : 9,641.14 = 2,266.06 : x
  2. Step 2: Convert to fraction form
    6,426.91/9,641.14 = 2,266.06/x
  3. Step 3: Cross multiply
    6,426.91x = 9,641.14 × 2,266.06
  4. Step 4: Simplify right side
    6,426.91x = 21,847,402.76
  5. Step 5: Solve for x
    x = 21,847,402.76/6,426.91
  6. Step 6: Final answer
    x = 3,399.36

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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.