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Finding the Fourth Proportional to 6,852.13, 9,447.30 and 5,591.90

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Solution

The fourth proportional to 6,852.13, 9,447.30 and 5,591.90 is: 7,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.13 : 9,447.30 = 5,591.90 : x
  2. Step 2: Convert to fraction form
    6,852.13/9,447.30 = 5,591.90/x
  3. Step 3: Cross multiply
    6,852.13x = 9,447.30 × 5,591.90
  4. Step 4: Simplify right side
    6,852.13x = 52,828,380.49
  5. Step 5: Solve for x
    x = 52,828,380.49/6,852.13
  6. Step 6: Final answer
    x = 7,709.78

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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.