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Finding the Fourth Proportional to 6,870.42, 9,481.10 and 3,726.59

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Solution

The fourth proportional to 6,870.42, 9,481.10 and 3,726.59 is: 5,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.42 : 9,481.10 = 3,726.59 : x
  2. Step 2: Convert to fraction form
    6,870.42/9,481.10 = 3,726.59/x
  3. Step 3: Cross multiply
    6,870.42x = 9,481.10 × 3,726.59
  4. Step 4: Simplify right side
    6,870.42x = 35,332,106.41
  5. Step 5: Solve for x
    x = 35,332,106.41/6,870.42
  6. Step 6: Final answer
    x = 5,142.64

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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.