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Finding the Fourth Proportional to 6,947.80, 9,588.12 and 3,804.04

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Solution

The fourth proportional to 6,947.80, 9,588.12 and 3,804.04 is: 5,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.80 : 9,588.12 = 3,804.04 : x
  2. Step 2: Convert to fraction form
    6,947.80/9,588.12 = 3,804.04/x
  3. Step 3: Cross multiply
    6,947.80x = 9,588.12 × 3,804.04
  4. Step 4: Simplify right side
    6,947.80x = 36,473,592.00
  5. Step 5: Solve for x
    x = 36,473,592.00/6,947.80
  6. Step 6: Final answer
    x = 5,249.66

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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.