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Finding the Fourth Proportional to 6,772.82, 9,346.18 and 3,788.06

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Solution

The fourth proportional to 6,772.82, 9,346.18 and 3,788.06 is: 5,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.82 : 9,346.18 = 3,788.06 : x
  2. Step 2: Convert to fraction form
    6,772.82/9,346.18 = 3,788.06/x
  3. Step 3: Cross multiply
    6,772.82x = 9,346.18 × 3,788.06
  4. Step 4: Simplify right side
    6,772.82x = 35,403,890.61
  5. Step 5: Solve for x
    x = 35,403,890.61/6,772.82
  6. Step 6: Final answer
    x = 5,227.35

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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.