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Finding the Fourth Proportional to 6,987.37, 9,642.14 and 3,800.64

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Solution

The fourth proportional to 6,987.37, 9,642.14 and 3,800.64 is: 5,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.37 : 9,642.14 = 3,800.64 : x
  2. Step 2: Convert to fraction form
    6,987.37/9,642.14 = 3,800.64/x
  3. Step 3: Cross multiply
    6,987.37x = 9,642.14 × 3,800.64
  4. Step 4: Simplify right side
    6,987.37x = 36,646,286.73
  5. Step 5: Solve for x
    x = 36,646,286.73/6,987.37
  6. Step 6: Final answer
    x = 5,244.65

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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.