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Finding the Fourth Proportional to 9,676.58, 13,354.37 and 5,371.09

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Solution

The fourth proportional to 9,676.58, 13,354.37 and 5,371.09 is: 7,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.58 : 13,354.37 = 5,371.09 : x
  2. Step 2: Convert to fraction form
    9,676.58/13,354.37 = 5,371.09/x
  3. Step 3: Cross multiply
    9,676.58x = 13,354.37 × 5,371.09
  4. Step 4: Simplify right side
    9,676.58x = 71,727,523.16
  5. Step 5: Solve for x
    x = 71,727,523.16/9,676.58
  6. Step 6: Final answer
    x = 7,412.49

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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.