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Finding the Fourth Proportional to 6,164.31, 9,258.36 and 5,887.83

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Solution

The fourth proportional to 6,164.31, 9,258.36 and 5,887.83 is: 8,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.31 : 9,258.36 = 5,887.83 : x
  2. Step 2: Convert to fraction form
    6,164.31/9,258.36 = 5,887.83/x
  3. Step 3: Cross multiply
    6,164.31x = 9,258.36 × 5,887.83
  4. Step 4: Simplify right side
    6,164.31x = 54,511,649.76
  5. Step 5: Solve for x
    x = 54,511,649.76/6,164.31
  6. Step 6: Final answer
    x = 8,843.11

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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.