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Finding the Fourth Proportional to 6,394.43, 8,823.51 and 3,561.09

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Solution

The fourth proportional to 6,394.43, 8,823.51 and 3,561.09 is: 4,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.43 : 8,823.51 = 3,561.09 : x
  2. Step 2: Convert to fraction form
    6,394.43/8,823.51 = 3,561.09/x
  3. Step 3: Cross multiply
    6,394.43x = 8,823.51 × 3,561.09
  4. Step 4: Simplify right side
    6,394.43x = 31,421,313.23
  5. Step 5: Solve for x
    x = 31,421,313.23/6,394.43
  6. Step 6: Final answer
    x = 4,913.86

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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.