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Finding the Fourth Proportional to 6,883.92, 9,499.64 and 3,900.06

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Solution

The fourth proportional to 6,883.92, 9,499.64 and 3,900.06 is: 5,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.92 : 9,499.64 = 3,900.06 : x
  2. Step 2: Convert to fraction form
    6,883.92/9,499.64 = 3,900.06/x
  3. Step 3: Cross multiply
    6,883.92x = 9,499.64 × 3,900.06
  4. Step 4: Simplify right side
    6,883.92x = 37,049,165.98
  5. Step 5: Solve for x
    x = 37,049,165.98/6,883.92
  6. Step 6: Final answer
    x = 5,381.99

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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.