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Finding the Fourth Proportional to 6,394.12, 8,823.29 and 4,716.43

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Solution

The fourth proportional to 6,394.12, 8,823.29 and 4,716.43 is: 6,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.12 : 8,823.29 = 4,716.43 : x
  2. Step 2: Convert to fraction form
    6,394.12/8,823.29 = 4,716.43/x
  3. Step 3: Cross multiply
    6,394.12x = 8,823.29 × 4,716.43
  4. Step 4: Simplify right side
    6,394.12x = 41,614,384.01
  5. Step 5: Solve for x
    x = 41,614,384.01/6,394.12
  6. Step 6: Final answer
    x = 6,508.23

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Why These Related Problems?

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