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Finding the Fourth Proportional to 6,187.48, 9,283.29 and 4,115.66

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Solution

The fourth proportional to 6,187.48, 9,283.29 and 4,115.66 is: 6,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.48 : 9,283.29 = 4,115.66 : x
  2. Step 2: Convert to fraction form
    6,187.48/9,283.29 = 4,115.66/x
  3. Step 3: Cross multiply
    6,187.48x = 9,283.29 × 4,115.66
  4. Step 4: Simplify right side
    6,187.48x = 38,206,865.32
  5. Step 5: Solve for x
    x = 38,206,865.32/6,187.48
  6. Step 6: Final answer
    x = 6,174.87

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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.