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Finding the Fourth Proportional to 6,091.24, 9,133.02 and 2,194.92

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Solution

The fourth proportional to 6,091.24, 9,133.02 and 2,194.92 is: 3,291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.24 : 9,133.02 = 2,194.92 : x
  2. Step 2: Convert to fraction form
    6,091.24/9,133.02 = 2,194.92/x
  3. Step 3: Cross multiply
    6,091.24x = 9,133.02 × 2,194.92
  4. Step 4: Simplify right side
    6,091.24x = 20,046,248.26
  5. Step 5: Solve for x
    x = 20,046,248.26/6,091.24
  6. Step 6: Final answer
    x = 3,291.00

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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.