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Finding the Fourth Proportional to 6,807.24, 9,399.90 and 4,293.84

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Solution

The fourth proportional to 6,807.24, 9,399.90 and 4,293.84 is: 5,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.24 : 9,399.90 = 4,293.84 : x
  2. Step 2: Convert to fraction form
    6,807.24/9,399.90 = 4,293.84/x
  3. Step 3: Cross multiply
    6,807.24x = 9,399.90 × 4,293.84
  4. Step 4: Simplify right side
    6,807.24x = 40,361,666.62
  5. Step 5: Solve for x
    x = 40,361,666.62/6,807.24
  6. Step 6: Final answer
    x = 5,929.23

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