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Finding the Fourth Proportional to 6,924.09, 10,367.91 and 4,144.17

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Solution

The fourth proportional to 6,924.09, 10,367.91 and 4,144.17 is: 6,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.09 : 10,367.91 = 4,144.17 : x
  2. Step 2: Convert to fraction form
    6,924.09/10,367.91 = 4,144.17/x
  3. Step 3: Cross multiply
    6,924.09x = 10,367.91 × 4,144.17
  4. Step 4: Simplify right side
    6,924.09x = 42,966,381.58
  5. Step 5: Solve for x
    x = 42,966,381.58/6,924.09
  6. Step 6: Final answer
    x = 6,205.35

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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.