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Finding the Fourth Proportional to 9,601.69, 14,402.63 and 2,676.19

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Solution

The fourth proportional to 9,601.69, 14,402.63 and 2,676.19 is: 4,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.69 : 14,402.63 = 2,676.19 : x
  2. Step 2: Convert to fraction form
    9,601.69/14,402.63 = 2,676.19/x
  3. Step 3: Cross multiply
    9,601.69x = 14,402.63 × 2,676.19
  4. Step 4: Simplify right side
    9,601.69x = 38,544,174.38
  5. Step 5: Solve for x
    x = 38,544,174.38/9,601.69
  6. Step 6: Final answer
    x = 4,014.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.