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Finding the Fourth Proportional to 6,809.90, 10,212.93 and 4,309.43

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Solution

The fourth proportional to 6,809.90, 10,212.93 and 4,309.43 is: 6,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.90 : 10,212.93 = 4,309.43 : x
  2. Step 2: Convert to fraction form
    6,809.90/10,212.93 = 4,309.43/x
  3. Step 3: Cross multiply
    6,809.90x = 10,212.93 × 4,309.43
  4. Step 4: Simplify right side
    6,809.90x = 44,011,855.87
  5. Step 5: Solve for x
    x = 44,011,855.87/6,809.90
  6. Step 6: Final answer
    x = 6,462.93

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