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Finding the Fourth Proportional to 6,806.05, 9,392.34 and 3,822.84

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Solution

The fourth proportional to 6,806.05, 9,392.34 and 3,822.84 is: 5,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.05 : 9,392.34 = 3,822.84 : x
  2. Step 2: Convert to fraction form
    6,806.05/9,392.34 = 3,822.84/x
  3. Step 3: Cross multiply
    6,806.05x = 9,392.34 × 3,822.84
  4. Step 4: Simplify right side
    6,806.05x = 35,905,427.38
  5. Step 5: Solve for x
    x = 35,905,427.38/6,806.05
  6. Step 6: Final answer
    x = 5,275.52

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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.