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Finding the Fourth Proportional to 6,847.70, 9,449.10 and 5,056.12

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Solution

The fourth proportional to 6,847.70, 9,449.10 and 5,056.12 is: 6,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.70 : 9,449.10 = 5,056.12 : x
  2. Step 2: Convert to fraction form
    6,847.70/9,449.10 = 5,056.12/x
  3. Step 3: Cross multiply
    6,847.70x = 9,449.10 × 5,056.12
  4. Step 4: Simplify right side
    6,847.70x = 47,775,783.49
  5. Step 5: Solve for x
    x = 47,775,783.49/6,847.70
  6. Step 6: Final answer
    x = 6,976.91

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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.