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Finding the Fourth Proportional to 6,870.15, 9,480.78 and 3,726.32

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Solution

The fourth proportional to 6,870.15, 9,480.78 and 3,726.32 is: 5,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.15 : 9,480.78 = 3,726.32 : x
  2. Step 2: Convert to fraction form
    6,870.15/9,480.78 = 3,726.32/x
  3. Step 3: Cross multiply
    6,870.15x = 9,480.78 × 3,726.32
  4. Step 4: Simplify right side
    6,870.15x = 35,328,372.73
  5. Step 5: Solve for x
    x = 35,328,372.73/6,870.15
  6. Step 6: Final answer
    x = 5,142.30

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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.