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Finding the Fourth Proportional to 9,022.86, 13,500.27 and 5,327.10

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Solution

The fourth proportional to 9,022.86, 13,500.27 and 5,327.10 is: 7,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.86 : 13,500.27 = 5,327.10 : x
  2. Step 2: Convert to fraction form
    9,022.86/13,500.27 = 5,327.10/x
  3. Step 3: Cross multiply
    9,022.86x = 13,500.27 × 5,327.10
  4. Step 4: Simplify right side
    9,022.86x = 71,917,288.32
  5. Step 5: Solve for x
    x = 71,917,288.32/9,022.86
  6. Step 6: Final answer
    x = 7,970.56

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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.