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Finding the Fourth Proportional to 6,777.12, 9,348.96 and 5,844

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Solution

The fourth proportional to 6,777.12, 9,348.96 and 5,844 is: 8,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.12 : 9,348.96 = 5,844 : x
  2. Step 2: Convert to fraction form
    6,777.12/9,348.96 = 5,844/x
  3. Step 3: Cross multiply
    6,777.12x = 9,348.96 × 5,844
  4. Step 4: Simplify right side
    6,777.12x = 54,635,322.24
  5. Step 5: Solve for x
    x = 54,635,322.24/6,777.12
  6. Step 6: Final answer
    x = 8,061.73

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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.