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Finding the Fourth Proportional to 9,232.44, 13,842.36 and 5,288.16

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Solution

The fourth proportional to 9,232.44, 13,842.36 and 5,288.16 is: 7,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.44 : 13,842.36 = 5,288.16 : x
  2. Step 2: Convert to fraction form
    9,232.44/13,842.36 = 5,288.16/x
  3. Step 3: Cross multiply
    9,232.44x = 13,842.36 × 5,288.16
  4. Step 4: Simplify right side
    9,232.44x = 73,200,614.46
  5. Step 5: Solve for x
    x = 73,200,614.46/9,232.44
  6. Step 6: Final answer
    x = 7,928.63

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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.