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Finding the Fourth Proportional to 9,028.80, 12,424.32 and 7,983.36

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Solution

The fourth proportional to 9,028.80, 12,424.32 and 7,983.36 is: 10,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.80 : 12,424.32 = 7,983.36 : x
  2. Step 2: Convert to fraction form
    9,028.80/12,424.32 = 7,983.36/x
  3. Step 3: Cross multiply
    9,028.80x = 12,424.32 × 7,983.36
  4. Step 4: Simplify right side
    9,028.80x = 99,187,819.32
  5. Step 5: Solve for x
    x = 99,187,819.32/9,028.80
  6. Step 6: Final answer
    x = 10,985.71

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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.