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Finding the Fourth Proportional to 9,756.86, 14,622.17 and 5,067.11

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Solution

The fourth proportional to 9,756.86, 14,622.17 and 5,067.11 is: 7,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.86 : 14,622.17 = 5,067.11 : x
  2. Step 2: Convert to fraction form
    9,756.86/14,622.17 = 5,067.11/x
  3. Step 3: Cross multiply
    9,756.86x = 14,622.17 × 5,067.11
  4. Step 4: Simplify right side
    9,756.86x = 74,092,101.30
  5. Step 5: Solve for x
    x = 74,092,101.30/9,756.86
  6. Step 6: Final answer
    x = 7,593.85

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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.