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Finding the Fourth Proportional to 6,869.83, 9,480.31 and 3,726

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Solution

The fourth proportional to 6,869.83, 9,480.31 and 3,726 is: 5,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.83 : 9,480.31 = 3,726 : x
  2. Step 2: Convert to fraction form
    6,869.83/9,480.31 = 3,726/x
  3. Step 3: Cross multiply
    6,869.83x = 9,480.31 × 3,726
  4. Step 4: Simplify right side
    6,869.83x = 35,323,635.06
  5. Step 5: Solve for x
    x = 35,323,635.06/6,869.83
  6. Step 6: Final answer
    x = 5,141.85

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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.