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Finding the Fourth Proportional to 6,614.12, 9,126.06 and 3,818

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Solution

The fourth proportional to 6,614.12, 9,126.06 and 3,818 is: 5,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.12 : 9,126.06 = 3,818 : x
  2. Step 2: Convert to fraction form
    6,614.12/9,126.06 = 3,818/x
  3. Step 3: Cross multiply
    6,614.12x = 9,126.06 × 3,818
  4. Step 4: Simplify right side
    6,614.12x = 34,843,297.08
  5. Step 5: Solve for x
    x = 34,843,297.08/6,614.12
  6. Step 6: Final answer
    x = 5,268.02

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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.