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Finding the Fourth Proportional to 6,288.96, 8,682.40 and 3,932.32

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Solution

The fourth proportional to 6,288.96, 8,682.40 and 3,932.32 is: 5,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.96 : 8,682.40 = 3,932.32 : x
  2. Step 2: Convert to fraction form
    6,288.96/8,682.40 = 3,932.32/x
  3. Step 3: Cross multiply
    6,288.96x = 8,682.40 × 3,932.32
  4. Step 4: Simplify right side
    6,288.96x = 34,141,975.17
  5. Step 5: Solve for x
    x = 34,141,975.17/6,288.96
  6. Step 6: Final answer
    x = 5,428.87

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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.