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Finding the Fourth Proportional to 6,463.49, 9,695.73 and 2,081.07

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Solution

The fourth proportional to 6,463.49, 9,695.73 and 2,081.07 is: 3,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.49 : 9,695.73 = 2,081.07 : x
  2. Step 2: Convert to fraction form
    6,463.49/9,695.73 = 2,081.07/x
  3. Step 3: Cross multiply
    6,463.49x = 9,695.73 × 2,081.07
  4. Step 4: Simplify right side
    6,463.49x = 20,177,492.83
  5. Step 5: Solve for x
    x = 20,177,492.83/6,463.49
  6. Step 6: Final answer
    x = 3,121.77

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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.