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Finding the Fourth Proportional to 6,927.91, 9,560.31 and 3,784.10

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Solution

The fourth proportional to 6,927.91, 9,560.31 and 3,784.10 is: 5,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.91 : 9,560.31 = 3,784.10 : x
  2. Step 2: Convert to fraction form
    6,927.91/9,560.31 = 3,784.10/x
  3. Step 3: Cross multiply
    6,927.91x = 9,560.31 × 3,784.10
  4. Step 4: Simplify right side
    6,927.91x = 36,177,128.36
  5. Step 5: Solve for x
    x = 36,177,128.36/6,927.91
  6. Step 6: Final answer
    x = 5,221.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.