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Finding the Fourth Proportional to 6,585.14, 9,881.82 and 3,949.80

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Solution

The fourth proportional to 6,585.14, 9,881.82 and 3,949.80 is: 5,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.14 : 9,881.82 = 3,949.80 : x
  2. Step 2: Convert to fraction form
    6,585.14/9,881.82 = 3,949.80/x
  3. Step 3: Cross multiply
    6,585.14x = 9,881.82 × 3,949.80
  4. Step 4: Simplify right side
    6,585.14x = 39,031,212.64
  5. Step 5: Solve for x
    x = 39,031,212.64/6,585.14
  6. Step 6: Final answer
    x = 5,927.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.