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Finding the Fourth Proportional to 6,867.91, 9,477.66 and 3,843.02

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Solution

The fourth proportional to 6,867.91, 9,477.66 and 3,843.02 is: 5,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.91 : 9,477.66 = 3,843.02 : x
  2. Step 2: Convert to fraction form
    6,867.91/9,477.66 = 3,843.02/x
  3. Step 3: Cross multiply
    6,867.91x = 9,477.66 × 3,843.02
  4. Step 4: Simplify right side
    6,867.91x = 36,422,836.93
  5. Step 5: Solve for x
    x = 36,422,836.93/6,867.91
  6. Step 6: Final answer
    x = 5,303.34

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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.