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Finding the Fourth Proportional to 6,016.32, 9,023.57 and 2,068.18

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Solution

The fourth proportional to 6,016.32, 9,023.57 and 2,068.18 is: 3,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.32 : 9,023.57 = 2,068.18 : x
  2. Step 2: Convert to fraction form
    6,016.32/9,023.57 = 2,068.18/x
  3. Step 3: Cross multiply
    6,016.32x = 9,023.57 × 2,068.18
  4. Step 4: Simplify right side
    6,016.32x = 18,662,372.17
  5. Step 5: Solve for x
    x = 18,662,372.17/6,016.32
  6. Step 6: Final answer
    x = 3,101.96

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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.