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Finding the Fourth Proportional to 6,138.30, 8,477.96 and 4,467.21

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Solution

The fourth proportional to 6,138.30, 8,477.96 and 4,467.21 is: 6,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.30 : 8,477.96 = 4,467.21 : x
  2. Step 2: Convert to fraction form
    6,138.30/8,477.96 = 4,467.21/x
  3. Step 3: Cross multiply
    6,138.30x = 8,477.96 × 4,467.21
  4. Step 4: Simplify right side
    6,138.30x = 37,872,827.69
  5. Step 5: Solve for x
    x = 37,872,827.69/6,138.30
  6. Step 6: Final answer
    x = 6,169.92

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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.