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Finding the Fourth Proportional to 9,974.31, 13,682.04 and 9,766.70

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Solution

The fourth proportional to 9,974.31, 13,682.04 and 9,766.70 is: 13,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.31 : 13,682.04 = 9,766.70 : x
  2. Step 2: Convert to fraction form
    9,974.31/13,682.04 = 9,766.70/x
  3. Step 3: Cross multiply
    9,974.31x = 13,682.04 × 9,766.70
  4. Step 4: Simplify right side
    9,974.31x = 133,628,392.29
  5. Step 5: Solve for x
    x = 133,628,392.29/9,974.31
  6. Step 6: Final answer
    x = 13,397.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.