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Finding the Fourth Proportional to 6,324.48, 9,491.56 and 2,864.16

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Solution

The fourth proportional to 6,324.48, 9,491.56 and 2,864.16 is: 4,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.48 : 9,491.56 = 2,864.16 : x
  2. Step 2: Convert to fraction form
    6,324.48/9,491.56 = 2,864.16/x
  3. Step 3: Cross multiply
    6,324.48x = 9,491.56 × 2,864.16
  4. Step 4: Simplify right side
    6,324.48x = 27,185,346.49
  5. Step 5: Solve for x
    x = 27,185,346.49/6,324.48
  6. Step 6: Final answer
    x = 4,298.43

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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.