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Finding the Fourth Proportional to 9,452.24, 14,149.16 and 6,158.24

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Solution

The fourth proportional to 9,452.24, 14,149.16 and 6,158.24 is: 9,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.24 : 14,149.16 = 6,158.24 : x
  2. Step 2: Convert to fraction form
    9,452.24/14,149.16 = 6,158.24/x
  3. Step 3: Cross multiply
    9,452.24x = 14,149.16 × 6,158.24
  4. Step 4: Simplify right side
    9,452.24x = 87,133,923.08
  5. Step 5: Solve for x
    x = 87,133,923.08/9,452.24
  6. Step 6: Final answer
    x = 9,218.34

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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.