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Finding the Fourth Proportional to 6,825.43, 9,423.75 and 5,033.13

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Solution

The fourth proportional to 6,825.43, 9,423.75 and 5,033.13 is: 6,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.43 : 9,423.75 = 5,033.13 : x
  2. Step 2: Convert to fraction form
    6,825.43/9,423.75 = 5,033.13/x
  3. Step 3: Cross multiply
    6,825.43x = 9,423.75 × 5,033.13
  4. Step 4: Simplify right side
    6,825.43x = 47,430,958.84
  5. Step 5: Solve for x
    x = 47,430,958.84/6,825.43
  6. Step 6: Final answer
    x = 6,949.15

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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.