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Finding the Fourth Proportional to 6,851.02, 9,454.17 and 4,202.86

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Solution

The fourth proportional to 6,851.02, 9,454.17 and 4,202.86 is: 5,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.02 : 9,454.17 = 4,202.86 : x
  2. Step 2: Convert to fraction form
    6,851.02/9,454.17 = 4,202.86/x
  3. Step 3: Cross multiply
    6,851.02x = 9,454.17 × 4,202.86
  4. Step 4: Simplify right side
    6,851.02x = 39,734,552.93
  5. Step 5: Solve for x
    x = 39,734,552.93/6,851.02
  6. Step 6: Final answer
    x = 5,799.80

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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.