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Finding the Fourth Proportional to 9,846.87, 13,589.99 and 6,262.17

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Solution

The fourth proportional to 9,846.87, 13,589.99 and 6,262.17 is: 8,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.87 : 13,589.99 = 6,262.17 : x
  2. Step 2: Convert to fraction form
    9,846.87/13,589.99 = 6,262.17/x
  3. Step 3: Cross multiply
    9,846.87x = 13,589.99 × 6,262.17
  4. Step 4: Simplify right side
    9,846.87x = 85,102,728.42
  5. Step 5: Solve for x
    x = 85,102,728.42/9,846.87
  6. Step 6: Final answer
    x = 8,642.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.