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Finding the Fourth Proportional to 6,686.46, 9,225.75 and 3,998.56

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Solution

The fourth proportional to 6,686.46, 9,225.75 and 3,998.56 is: 5,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.46 : 9,225.75 = 3,998.56 : x
  2. Step 2: Convert to fraction form
    6,686.46/9,225.75 = 3,998.56/x
  3. Step 3: Cross multiply
    6,686.46x = 9,225.75 × 3,998.56
  4. Step 4: Simplify right side
    6,686.46x = 36,889,701.66
  5. Step 5: Solve for x
    x = 36,889,701.66/6,686.46
  6. Step 6: Final answer
    x = 5,517.08

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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.