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Finding the Fourth Proportional to 6,837.55, 9,436.02 and 3,853.22

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Solution

The fourth proportional to 6,837.55, 9,436.02 and 3,853.22 is: 5,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.55 : 9,436.02 = 3,853.22 : x
  2. Step 2: Convert to fraction form
    6,837.55/9,436.02 = 3,853.22/x
  3. Step 3: Cross multiply
    6,837.55x = 9,436.02 × 3,853.22
  4. Step 4: Simplify right side
    6,837.55x = 36,359,060.98
  5. Step 5: Solve for x
    x = 36,359,060.98/6,837.55
  6. Step 6: Final answer
    x = 5,317.56

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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.