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Finding the Fourth Proportional to 9,022.32, 13,523.76 and 5,892.48

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Solution

The fourth proportional to 9,022.32, 13,523.76 and 5,892.48 is: 8,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.32 : 13,523.76 = 5,892.48 : x
  2. Step 2: Convert to fraction form
    9,022.32/13,523.76 = 5,892.48/x
  3. Step 3: Cross multiply
    9,022.32x = 13,523.76 × 5,892.48
  4. Step 4: Simplify right side
    9,022.32x = 79,688,485.32
  5. Step 5: Solve for x
    x = 79,688,485.32/9,022.32
  6. Step 6: Final answer
    x = 8,832.37

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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.