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Finding the Fourth Proportional to 6,844.80, 9,445.82 and 3,700.98

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Solution

The fourth proportional to 6,844.80, 9,445.82 and 3,700.98 is: 5,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.80 : 9,445.82 = 3,700.98 : x
  2. Step 2: Convert to fraction form
    6,844.80/9,445.82 = 3,700.98/x
  3. Step 3: Cross multiply
    6,844.80x = 9,445.82 × 3,700.98
  4. Step 4: Simplify right side
    6,844.80x = 34,958,772.40
  5. Step 5: Solve for x
    x = 34,958,772.40/6,844.80
  6. Step 6: Final answer
    x = 5,107.35

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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.