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Finding the Fourth Proportional to 6,686.06, 9,227.39 and 4,035.65

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Solution

The fourth proportional to 6,686.06, 9,227.39 and 4,035.65 is: 5,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.06 : 9,227.39 = 4,035.65 : x
  2. Step 2: Convert to fraction form
    6,686.06/9,227.39 = 4,035.65/x
  3. Step 3: Cross multiply
    6,686.06x = 9,227.39 × 4,035.65
  4. Step 4: Simplify right side
    6,686.06x = 37,238,450.14
  5. Step 5: Solve for x
    x = 37,238,450.14/6,686.06
  6. Step 6: Final answer
    x = 5,569.57

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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.