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Finding the Fourth Proportional to 6,775.68, 9,350.57 and 4,086.88

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Solution

The fourth proportional to 6,775.68, 9,350.57 and 4,086.88 is: 5,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.68 : 9,350.57 = 4,086.88 : x
  2. Step 2: Convert to fraction form
    6,775.68/9,350.57 = 4,086.88/x
  3. Step 3: Cross multiply
    6,775.68x = 9,350.57 × 4,086.88
  4. Step 4: Simplify right side
    6,775.68x = 38,214,657.52
  5. Step 5: Solve for x
    x = 38,214,657.52/6,775.68
  6. Step 6: Final answer
    x = 5,639.98

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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.