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Finding the Fourth Proportional to 6,775.14, 9,348.57 and 3,981.18

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Solution

The fourth proportional to 6,775.14, 9,348.57 and 3,981.18 is: 5,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.14 : 9,348.57 = 3,981.18 : x
  2. Step 2: Convert to fraction form
    6,775.14/9,348.57 = 3,981.18/x
  3. Step 3: Cross multiply
    6,775.14x = 9,348.57 × 3,981.18
  4. Step 4: Simplify right side
    6,775.14x = 37,218,339.91
  5. Step 5: Solve for x
    x = 37,218,339.91/6,775.14
  6. Step 6: Final answer
    x = 5,493.37

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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.