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Finding the Fourth Proportional to 9,544.77, 13,171.82 and 5,295.92

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Solution

The fourth proportional to 9,544.77, 13,171.82 and 5,295.92 is: 7,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.77 : 13,171.82 = 5,295.92 : x
  2. Step 2: Convert to fraction form
    9,544.77/13,171.82 = 5,295.92/x
  3. Step 3: Cross multiply
    9,544.77x = 13,171.82 × 5,295.92
  4. Step 4: Simplify right side
    9,544.77x = 69,756,904.97
  5. Step 5: Solve for x
    x = 69,756,904.97/9,544.77
  6. Step 6: Final answer
    x = 7,308.39

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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.