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Finding the Fourth Proportional to 6,823.01, 9,415.17 and 3,838.43

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Solution

The fourth proportional to 6,823.01, 9,415.17 and 3,838.43 is: 5,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.01 : 9,415.17 = 3,838.43 : x
  2. Step 2: Convert to fraction form
    6,823.01/9,415.17 = 3,838.43/x
  3. Step 3: Cross multiply
    6,823.01x = 9,415.17 × 3,838.43
  4. Step 4: Simplify right side
    6,823.01x = 36,139,423.91
  5. Step 5: Solve for x
    x = 36,139,423.91/6,823.01
  6. Step 6: Final answer
    x = 5,296.70

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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.