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Finding the Fourth Proportional to 9,229.28, 13,840.08 and 5,068.16

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Solution

The fourth proportional to 9,229.28, 13,840.08 and 5,068.16 is: 7,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.28 : 13,840.08 = 5,068.16 : x
  2. Step 2: Convert to fraction form
    9,229.28/13,840.08 = 5,068.16/x
  3. Step 3: Cross multiply
    9,229.28x = 13,840.08 × 5,068.16
  4. Step 4: Simplify right side
    9,229.28x = 70,143,739.85
  5. Step 5: Solve for x
    x = 70,143,739.85/9,229.28
  6. Step 6: Final answer
    x = 7,600.13

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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.