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Finding the Fourth Proportional to 6,927.64, 9,560.37 and 3,783.85

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Solution

The fourth proportional to 6,927.64, 9,560.37 and 3,783.85 is: 5,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.64 : 9,560.37 = 3,783.85 : x
  2. Step 2: Convert to fraction form
    6,927.64/9,560.37 = 3,783.85/x
  3. Step 3: Cross multiply
    6,927.64x = 9,560.37 × 3,783.85
  4. Step 4: Simplify right side
    6,927.64x = 36,175,006.02
  5. Step 5: Solve for x
    x = 36,175,006.02/6,927.64
  6. Step 6: Final answer
    x = 5,221.84

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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.