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Finding the Fourth Proportional to 6,684.08, 9,224.10 and 4,167.20

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Solution

The fourth proportional to 6,684.08, 9,224.10 and 4,167.20 is: 5,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.08 : 9,224.10 = 4,167.20 : x
  2. Step 2: Convert to fraction form
    6,684.08/9,224.10 = 4,167.20/x
  3. Step 3: Cross multiply
    6,684.08x = 9,224.10 × 4,167.20
  4. Step 4: Simplify right side
    6,684.08x = 38,438,623.40
  5. Step 5: Solve for x
    x = 38,438,623.40/6,684.08
  6. Step 6: Final answer
    x = 5,750.78

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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.