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Finding the Fourth Proportional to 6,851.98, 9,460.20 and 4,200.85

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Solution

The fourth proportional to 6,851.98, 9,460.20 and 4,200.85 is: 5,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.98 : 9,460.20 = 4,200.85 : x
  2. Step 2: Convert to fraction form
    6,851.98/9,460.20 = 4,200.85/x
  3. Step 3: Cross multiply
    6,851.98x = 9,460.20 × 4,200.85
  4. Step 4: Simplify right side
    6,851.98x = 39,740,881.17
  5. Step 5: Solve for x
    x = 39,740,881.17/6,851.98
  6. Step 6: Final answer
    x = 5,799.91

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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.