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Finding the Fourth Proportional to 6,841.64, 9,441.45 and 3,697.82

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Solution

The fourth proportional to 6,841.64, 9,441.45 and 3,697.82 is: 5,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.64 : 9,441.45 = 3,697.82 : x
  2. Step 2: Convert to fraction form
    6,841.64/9,441.45 = 3,697.82/x
  3. Step 3: Cross multiply
    6,841.64x = 9,441.45 × 3,697.82
  4. Step 4: Simplify right side
    6,841.64x = 34,912,829.48
  5. Step 5: Solve for x
    x = 34,912,829.48/6,841.64
  6. Step 6: Final answer
    x = 5,102.99

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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.