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Finding the Fourth Proportional to 6,016.37, 9,023.52 and 1,634.18

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Solution

The fourth proportional to 6,016.37, 9,023.52 and 1,634.18 is: 2,450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.37 : 9,023.52 = 1,634.18 : x
  2. Step 2: Convert to fraction form
    6,016.37/9,023.52 = 1,634.18/x
  3. Step 3: Cross multiply
    6,016.37x = 9,023.52 × 1,634.18
  4. Step 4: Simplify right side
    6,016.37x = 14,746,055.91
  5. Step 5: Solve for x
    x = 14,746,055.91/6,016.37
  6. Step 6: Final answer
    x = 2,450.99

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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.