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Finding the Fourth Proportional to 9,538.36, 14,313 and 7,452.52

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Solution

The fourth proportional to 9,538.36, 14,313 and 7,452.52 is: 11,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.36 : 14,313 = 7,452.52 : x
  2. Step 2: Convert to fraction form
    9,538.36/14,313 = 7,452.52/x
  3. Step 3: Cross multiply
    9,538.36x = 14,313 × 7,452.52
  4. Step 4: Simplify right side
    9,538.36x = 106,667,918.76
  5. Step 5: Solve for x
    x = 106,667,918.76/9,538.36
  6. Step 6: Final answer
    x = 11,183.05

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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.