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Finding the Fourth Proportional to 9,992.37, 13,776.66 and 8,193.24

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Solution

The fourth proportional to 9,992.37, 13,776.66 and 8,193.24 is: 11,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.37 : 13,776.66 = 8,193.24 : x
  2. Step 2: Convert to fraction form
    9,992.37/13,776.66 = 8,193.24/x
  3. Step 3: Cross multiply
    9,992.37x = 13,776.66 × 8,193.24
  4. Step 4: Simplify right side
    9,992.37x = 112,875,481.78
  5. Step 5: Solve for x
    x = 112,875,481.78/9,992.37
  6. Step 6: Final answer
    x = 11,296.17

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Similar ratio
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1.5x scale

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.