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Finding the Fourth Proportional to 6,309.76, 9,463.94 and 2,799.82

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Solution

The fourth proportional to 6,309.76, 9,463.94 and 2,799.82 is: 4,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.76 : 9,463.94 = 2,799.82 : x
  2. Step 2: Convert to fraction form
    6,309.76/9,463.94 = 2,799.82/x
  3. Step 3: Cross multiply
    6,309.76x = 9,463.94 × 2,799.82
  4. Step 4: Simplify right side
    6,309.76x = 26,497,328.49
  5. Step 5: Solve for x
    x = 26,497,328.49/6,309.76
  6. Step 6: Final answer
    x = 4,199.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.