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Finding the Fourth Proportional to 6,047.58, 9,068.46 and 3,967.50

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Solution

The fourth proportional to 6,047.58, 9,068.46 and 3,967.50 is: 5,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.58 : 9,068.46 = 3,967.50 : x
  2. Step 2: Convert to fraction form
    6,047.58/9,068.46 = 3,967.50/x
  3. Step 3: Cross multiply
    6,047.58x = 9,068.46 × 3,967.50
  4. Step 4: Simplify right side
    6,047.58x = 35,979,115.05
  5. Step 5: Solve for x
    x = 35,979,115.05/6,047.58
  6. Step 6: Final answer
    x = 5,949.34

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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.