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Finding the Fourth Proportional to 6,867.30, 9,476.77 and 3,723.42

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Solution

The fourth proportional to 6,867.30, 9,476.77 and 3,723.42 is: 5,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.30 : 9,476.77 = 3,723.42 : x
  2. Step 2: Convert to fraction form
    6,867.30/9,476.77 = 3,723.42/x
  3. Step 3: Cross multiply
    6,867.30x = 9,476.77 × 3,723.42
  4. Step 4: Simplify right side
    6,867.30x = 35,285,994.95
  5. Step 5: Solve for x
    x = 35,285,994.95/6,867.30
  6. Step 6: Final answer
    x = 5,138.26

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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.