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Finding the Fourth Proportional to 6,468.05, 8,925.53 and 3,778.95

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Solution

The fourth proportional to 6,468.05, 8,925.53 and 3,778.95 is: 5,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.05 : 8,925.53 = 3,778.95 : x
  2. Step 2: Convert to fraction form
    6,468.05/8,925.53 = 3,778.95/x
  3. Step 3: Cross multiply
    6,468.05x = 8,925.53 × 3,778.95
  4. Step 4: Simplify right side
    6,468.05x = 33,729,131.59
  5. Step 5: Solve for x
    x = 33,729,131.59/6,468.05
  6. Step 6: Final answer
    x = 5,214.73

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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.