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Finding the Fourth Proportional to 6,686.02, 9,227.74 and 3,814.75

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Solution

The fourth proportional to 6,686.02, 9,227.74 and 3,814.75 is: 5,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.02 : 9,227.74 = 3,814.75 : x
  2. Step 2: Convert to fraction form
    6,686.02/9,227.74 = 3,814.75/x
  3. Step 3: Cross multiply
    6,686.02x = 9,227.74 × 3,814.75
  4. Step 4: Simplify right side
    6,686.02x = 35,201,475.03
  5. Step 5: Solve for x
    x = 35,201,475.03/6,686.02
  6. Step 6: Final answer
    x = 5,264.94

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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.