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Finding the Fourth Proportional to 6,347.28, 8,762.34 and 4,226.37

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Solution

The fourth proportional to 6,347.28, 8,762.34 and 4,226.37 is: 5,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.28 : 8,762.34 = 4,226.37 : x
  2. Step 2: Convert to fraction form
    6,347.28/8,762.34 = 4,226.37/x
  3. Step 3: Cross multiply
    6,347.28x = 8,762.34 × 4,226.37
  4. Step 4: Simplify right side
    6,347.28x = 37,032,890.91
  5. Step 5: Solve for x
    x = 37,032,890.91/6,347.28
  6. Step 6: Final answer
    x = 5,834.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.