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Finding the Fourth Proportional to 6,905.80, 9,529.86 and 4,112.20

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Solution

The fourth proportional to 6,905.80, 9,529.86 and 4,112.20 is: 5,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.80 : 9,529.86 = 4,112.20 : x
  2. Step 2: Convert to fraction form
    6,905.80/9,529.86 = 4,112.20/x
  3. Step 3: Cross multiply
    6,905.80x = 9,529.86 × 4,112.20
  4. Step 4: Simplify right side
    6,905.80x = 39,188,690.29
  5. Step 5: Solve for x
    x = 39,188,690.29/6,905.80
  6. Step 6: Final answer
    x = 5,674.75

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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.