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Finding the Fourth Proportional to 9,602.26, 14,403.96 and 2,676.76

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Solution

The fourth proportional to 9,602.26, 14,403.96 and 2,676.76 is: 4,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.26 : 14,403.96 = 2,676.76 : x
  2. Step 2: Convert to fraction form
    9,602.26/14,403.96 = 2,676.76/x
  3. Step 3: Cross multiply
    9,602.26x = 14,403.96 × 2,676.76
  4. Step 4: Simplify right side
    9,602.26x = 38,555,943.97
  5. Step 5: Solve for x
    x = 38,555,943.97/9,602.26
  6. Step 6: Final answer
    x = 4,015.30

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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.