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Finding the Fourth Proportional to 6,266.95, 8,646.27 and 3,614.29

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Solution

The fourth proportional to 6,266.95, 8,646.27 and 3,614.29 is: 4,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.95 : 8,646.27 = 3,614.29 : x
  2. Step 2: Convert to fraction form
    6,266.95/8,646.27 = 3,614.29/x
  3. Step 3: Cross multiply
    6,266.95x = 8,646.27 × 3,614.29
  4. Step 4: Simplify right side
    6,266.95x = 31,250,092.03
  5. Step 5: Solve for x
    x = 31,250,092.03/6,266.95
  6. Step 6: Final answer
    x = 4,986.49

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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.