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Finding the Fourth Proportional to 6,807.95, 9,394.25 and 3,824.11

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Solution

The fourth proportional to 6,807.95, 9,394.25 and 3,824.11 is: 5,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.95 : 9,394.25 = 3,824.11 : x
  2. Step 2: Convert to fraction form
    6,807.95/9,394.25 = 3,824.11/x
  3. Step 3: Cross multiply
    6,807.95x = 9,394.25 × 3,824.11
  4. Step 4: Simplify right side
    6,807.95x = 35,924,637.99
  5. Step 5: Solve for x
    x = 35,924,637.99/6,807.95
  6. Step 6: Final answer
    x = 5,276.87

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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.