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Finding the Fourth Proportional to 9,468.48, 14,195.52 and 5,082.24

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Solution

The fourth proportional to 9,468.48, 14,195.52 and 5,082.24 is: 7,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.48 : 14,195.52 = 5,082.24 : x
  2. Step 2: Convert to fraction form
    9,468.48/14,195.52 = 5,082.24/x
  3. Step 3: Cross multiply
    9,468.48x = 14,195.52 × 5,082.24
  4. Step 4: Simplify right side
    9,468.48x = 72,145,039.56
  5. Step 5: Solve for x
    x = 72,145,039.56/9,468.48
  6. Step 6: Final answer
    x = 7,619.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.