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Finding the Fourth Proportional to 6,870.81, 9,481.65 and 3,726.99

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Solution

The fourth proportional to 6,870.81, 9,481.65 and 3,726.99 is: 5,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.81 : 9,481.65 = 3,726.99 : x
  2. Step 2: Convert to fraction form
    6,870.81/9,481.65 = 3,726.99/x
  3. Step 3: Cross multiply
    6,870.81x = 9,481.65 × 3,726.99
  4. Step 4: Simplify right side
    6,870.81x = 35,338,014.73
  5. Step 5: Solve for x
    x = 35,338,014.73/6,870.81
  6. Step 6: Final answer
    x = 5,143.21

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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.