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Finding the Fourth Proportional to 6,115.74, 9,091.14 and 5,936.15

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Solution

The fourth proportional to 6,115.74, 9,091.14 and 5,936.15 is: 8,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.74 : 9,091.14 = 5,936.15 : x
  2. Step 2: Convert to fraction form
    6,115.74/9,091.14 = 5,936.15/x
  3. Step 3: Cross multiply
    6,115.74x = 9,091.14 × 5,936.15
  4. Step 4: Simplify right side
    6,115.74x = 53,966,325.26
  5. Step 5: Solve for x
    x = 53,966,325.26/6,115.74
  6. Step 6: Final answer
    x = 8,824.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.