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Finding the Fourth Proportional to 9,315.90, 13,983.03 and 6,843.78

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Solution

The fourth proportional to 9,315.90, 13,983.03 and 6,843.78 is: 10,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.90 : 13,983.03 = 6,843.78 : x
  2. Step 2: Convert to fraction form
    9,315.90/13,983.03 = 6,843.78/x
  3. Step 3: Cross multiply
    9,315.90x = 13,983.03 × 6,843.78
  4. Step 4: Simplify right side
    9,315.90x = 95,696,781.05
  5. Step 5: Solve for x
    x = 95,696,781.05/9,315.90
  6. Step 6: Final answer
    x = 10,272.41

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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.