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Finding the Fourth Proportional to 11,194.32, 15,455.37 and 6,949.86

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Solution

The fourth proportional to 11,194.32, 15,455.37 and 6,949.86 is: 9,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.32 : 15,455.37 = 6,949.86 : x
  2. Step 2: Convert to fraction form
    11,194.32/15,455.37 = 6,949.86/x
  3. Step 3: Cross multiply
    11,194.32x = 15,455.37 × 6,949.86
  4. Step 4: Simplify right side
    11,194.32x = 107,412,657.75
  5. Step 5: Solve for x
    x = 107,412,657.75/11,194.32
  6. Step 6: Final answer
    x = 9,595.28

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