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Finding the Fourth Proportional to 9,481.13, 14,221.64 and 2,461.13

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Solution

The fourth proportional to 9,481.13, 14,221.64 and 2,461.13 is: 3,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.13 : 14,221.64 = 2,461.13 : x
  2. Step 2: Convert to fraction form
    9,481.13/14,221.64 = 2,461.13/x
  3. Step 3: Cross multiply
    9,481.13x = 14,221.64 × 2,461.13
  4. Step 4: Simplify right side
    9,481.13x = 35,001,328.10
  5. Step 5: Solve for x
    x = 35,001,328.10/9,481.13
  6. Step 6: Final answer
    x = 3,691.69

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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.