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Finding the Fourth Proportional to 6,601.68, 9,109.80 and 3,806.64

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Solution

The fourth proportional to 6,601.68, 9,109.80 and 3,806.64 is: 5,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.68 : 9,109.80 = 3,806.64 : x
  2. Step 2: Convert to fraction form
    6,601.68/9,109.80 = 3,806.64/x
  3. Step 3: Cross multiply
    6,601.68x = 9,109.80 × 3,806.64
  4. Step 4: Simplify right side
    6,601.68x = 34,677,729.07
  5. Step 5: Solve for x
    x = 34,677,729.07/6,601.68
  6. Step 6: Final answer
    x = 5,252.86

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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.