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Finding the Fourth Proportional to 6,873.76, 9,485.78 and 3,729.95

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Solution

The fourth proportional to 6,873.76, 9,485.78 and 3,729.95 is: 5,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.76 : 9,485.78 = 3,729.95 : x
  2. Step 2: Convert to fraction form
    6,873.76/9,485.78 = 3,729.95/x
  3. Step 3: Cross multiply
    6,873.76x = 9,485.78 × 3,729.95
  4. Step 4: Simplify right side
    6,873.76x = 35,381,485.11
  5. Step 5: Solve for x
    x = 35,381,485.11/6,873.76
  6. Step 6: Final answer
    x = 5,147.33

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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.