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Finding the Fourth Proportional to 6,324.94, 9,462.57 and 5,586.22

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Solution

The fourth proportional to 6,324.94, 9,462.57 and 5,586.22 is: 8,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.94 : 9,462.57 = 5,586.22 : x
  2. Step 2: Convert to fraction form
    6,324.94/9,462.57 = 5,586.22/x
  3. Step 3: Cross multiply
    6,324.94x = 9,462.57 × 5,586.22
  4. Step 4: Simplify right side
    6,324.94x = 52,859,997.79
  5. Step 5: Solve for x
    x = 52,859,997.79/6,324.94
  6. Step 6: Final answer
    x = 8,357.39

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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.