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Finding the Fourth Proportional to 6,301.31, 9,451.97 and 2,834.51

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Solution

The fourth proportional to 6,301.31, 9,451.97 and 2,834.51 is: 4,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.31 : 9,451.97 = 2,834.51 : x
  2. Step 2: Convert to fraction form
    6,301.31/9,451.97 = 2,834.51/x
  3. Step 3: Cross multiply
    6,301.31x = 9,451.97 × 2,834.51
  4. Step 4: Simplify right side
    6,301.31x = 26,791,703.48
  5. Step 5: Solve for x
    x = 26,791,703.48/6,301.31
  6. Step 6: Final answer
    x = 4,251.77

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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.