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Finding the Fourth Proportional to 9,182.92, 13,774.62 and 6,995.56

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Solution

The fourth proportional to 9,182.92, 13,774.62 and 6,995.56 is: 10,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.92 : 13,774.62 = 6,995.56 : x
  2. Step 2: Convert to fraction form
    9,182.92/13,774.62 = 6,995.56/x
  3. Step 3: Cross multiply
    9,182.92x = 13,774.62 × 6,995.56
  4. Step 4: Simplify right side
    9,182.92x = 96,361,180.69
  5. Step 5: Solve for x
    x = 96,361,180.69/9,182.92
  6. Step 6: Final answer
    x = 10,493.52

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