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Finding the Fourth Proportional to 9,121.71, 13,682.70 and 6,021.57

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Solution

The fourth proportional to 9,121.71, 13,682.70 and 6,021.57 is: 9,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.71 : 13,682.70 = 6,021.57 : x
  2. Step 2: Convert to fraction form
    9,121.71/13,682.70 = 6,021.57/x
  3. Step 3: Cross multiply
    9,121.71x = 13,682.70 × 6,021.57
  4. Step 4: Simplify right side
    9,121.71x = 82,391,335.84
  5. Step 5: Solve for x
    x = 82,391,335.84/9,121.71
  6. Step 6: Final answer
    x = 9,032.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.