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Finding the Fourth Proportional to 6,347.43, 8,762.49 and 4,226.49

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Solution

The fourth proportional to 6,347.43, 8,762.49 and 4,226.49 is: 5,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.43 : 8,762.49 = 4,226.49 : x
  2. Step 2: Convert to fraction form
    6,347.43/8,762.49 = 4,226.49/x
  3. Step 3: Cross multiply
    6,347.43x = 8,762.49 × 4,226.49
  4. Step 4: Simplify right side
    6,347.43x = 37,034,576.36
  5. Step 5: Solve for x
    x = 37,034,576.36/6,347.43
  6. Step 6: Final answer
    x = 5,834.58

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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.