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Finding the Fourth Proportional to 6,844.48, 9,445.74 and 3,860.44

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Solution

The fourth proportional to 6,844.48, 9,445.74 and 3,860.44 is: 5,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.48 : 9,445.74 = 3,860.44 : x
  2. Step 2: Convert to fraction form
    6,844.48/9,445.74 = 3,860.44/x
  3. Step 3: Cross multiply
    6,844.48x = 9,445.74 × 3,860.44
  4. Step 4: Simplify right side
    6,844.48x = 36,464,712.53
  5. Step 5: Solve for x
    x = 36,464,712.53/6,844.48
  6. Step 6: Final answer
    x = 5,327.61

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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.