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Finding the Fourth Proportional to 6,881.12, 9,498.42 and 4,086.64

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Solution

The fourth proportional to 6,881.12, 9,498.42 and 4,086.64 is: 5,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.12 : 9,498.42 = 4,086.64 : x
  2. Step 2: Convert to fraction form
    6,881.12/9,498.42 = 4,086.64/x
  3. Step 3: Cross multiply
    6,881.12x = 9,498.42 × 4,086.64
  4. Step 4: Simplify right side
    6,881.12x = 38,816,623.11
  5. Step 5: Solve for x
    x = 38,816,623.11/6,881.12
  6. Step 6: Final answer
    x = 5,641.03

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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.