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Finding the Fourth Proportional to 6,335.20, 9,503.94 and 2,174.13

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Solution

The fourth proportional to 6,335.20, 9,503.94 and 2,174.13 is: 3,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.20 : 9,503.94 = 2,174.13 : x
  2. Step 2: Convert to fraction form
    6,335.20/9,503.94 = 2,174.13/x
  3. Step 3: Cross multiply
    6,335.20x = 9,503.94 × 2,174.13
  4. Step 4: Simplify right side
    6,335.20x = 20,662,790.20
  5. Step 5: Solve for x
    x = 20,662,790.20/6,335.20
  6. Step 6: Final answer
    x = 3,261.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.