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Finding the Fourth Proportional to 9,708.39, 13,398.84 and 6,354.09

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Solution

The fourth proportional to 9,708.39, 13,398.84 and 6,354.09 is: 8,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.39 : 13,398.84 = 6,354.09 : x
  2. Step 2: Convert to fraction form
    9,708.39/13,398.84 = 6,354.09/x
  3. Step 3: Cross multiply
    9,708.39x = 13,398.84 × 6,354.09
  4. Step 4: Simplify right side
    9,708.39x = 85,137,435.26
  5. Step 5: Solve for x
    x = 85,137,435.26/9,708.39
  6. Step 6: Final answer
    x = 8,769.47

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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.