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Finding the Fourth Proportional to 9,453.72, 13,046.40 and 5,205.24

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Solution

The fourth proportional to 9,453.72, 13,046.40 and 5,205.24 is: 7,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.72 : 13,046.40 = 5,205.24 : x
  2. Step 2: Convert to fraction form
    9,453.72/13,046.40 = 5,205.24/x
  3. Step 3: Cross multiply
    9,453.72x = 13,046.40 × 5,205.24
  4. Step 4: Simplify right side
    9,453.72x = 67,909,643.14
  5. Step 5: Solve for x
    x = 67,909,643.14/9,453.72
  6. Step 6: Final answer
    x = 7,183.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.