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Finding the Fourth Proportional to 6,477.97, 8,939.65 and 3,826.69

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Solution

The fourth proportional to 6,477.97, 8,939.65 and 3,826.69 is: 5,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.97 : 8,939.65 = 3,826.69 : x
  2. Step 2: Convert to fraction form
    6,477.97/8,939.65 = 3,826.69/x
  3. Step 3: Cross multiply
    6,477.97x = 8,939.65 × 3,826.69
  4. Step 4: Simplify right side
    6,477.97x = 34,209,269.26
  5. Step 5: Solve for x
    x = 34,209,269.26/6,477.97
  6. Step 6: Final answer
    x = 5,280.86

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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.