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Finding the Fourth Proportional to 9,224.28, 13,832.58 and 5,063.16

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Solution

The fourth proportional to 9,224.28, 13,832.58 and 5,063.16 is: 7,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.28 : 13,832.58 = 5,063.16 : x
  2. Step 2: Convert to fraction form
    9,224.28/13,832.58 = 5,063.16/x
  3. Step 3: Cross multiply
    9,224.28x = 13,832.58 × 5,063.16
  4. Step 4: Simplify right side
    9,224.28x = 70,036,565.75
  5. Step 5: Solve for x
    x = 70,036,565.75/9,224.28
  6. Step 6: Final answer
    x = 7,592.63

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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.