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Finding the Fourth Proportional to 6,347.25, 8,762.22 and 4,226.31

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Solution

The fourth proportional to 6,347.25, 8,762.22 and 4,226.31 is: 5,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.25 : 8,762.22 = 4,226.31 : x
  2. Step 2: Convert to fraction form
    6,347.25/8,762.22 = 4,226.31/x
  3. Step 3: Cross multiply
    6,347.25x = 8,762.22 × 4,226.31
  4. Step 4: Simplify right side
    6,347.25x = 37,031,858.01
  5. Step 5: Solve for x
    x = 37,031,858.01/6,347.25
  6. Step 6: Final answer
    x = 5,834.32

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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.