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Finding the Fourth Proportional to 6,299.31, 9,448.97 and 2,832.51

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Solution

The fourth proportional to 6,299.31, 9,448.97 and 2,832.51 is: 4,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.31 : 9,448.97 = 2,832.51 : x
  2. Step 2: Convert to fraction form
    6,299.31/9,448.97 = 2,832.51/x
  3. Step 3: Cross multiply
    6,299.31x = 9,448.97 × 2,832.51
  4. Step 4: Simplify right side
    6,299.31x = 26,764,302.01
  5. Step 5: Solve for x
    x = 26,764,302.01/6,299.31
  6. Step 6: Final answer
    x = 4,248.77

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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.