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Finding the Fourth Proportional to 6,870.18, 9,480.88 and 3,726.37

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Solution

The fourth proportional to 6,870.18, 9,480.88 and 3,726.37 is: 5,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.18 : 9,480.88 = 3,726.37 : x
  2. Step 2: Convert to fraction form
    6,870.18/9,480.88 = 3,726.37/x
  3. Step 3: Cross multiply
    6,870.18x = 9,480.88 × 3,726.37
  4. Step 4: Simplify right side
    6,870.18x = 35,329,283.31
  5. Step 5: Solve for x
    x = 35,329,283.31/6,870.18
  6. Step 6: Final answer
    x = 5,142.41

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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.