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Finding the Fourth Proportional to 6,981.73, 9,633.33 and 4,150.10

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Solution

The fourth proportional to 6,981.73, 9,633.33 and 4,150.10 is: 5,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.73 : 9,633.33 = 4,150.10 : x
  2. Step 2: Convert to fraction form
    6,981.73/9,633.33 = 4,150.10/x
  3. Step 3: Cross multiply
    6,981.73x = 9,633.33 × 4,150.10
  4. Step 4: Simplify right side
    6,981.73x = 39,979,306.92
  5. Step 5: Solve for x
    x = 39,979,306.92/6,981.73
  6. Step 6: Final answer
    x = 5,726.28

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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.