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Finding the Fourth Proportional to 9,324.25, 13,981.98 and 2,749.14

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Solution

The fourth proportional to 9,324.25, 13,981.98 and 2,749.14 is: 4,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.25 : 13,981.98 = 2,749.14 : x
  2. Step 2: Convert to fraction form
    9,324.25/13,981.98 = 2,749.14/x
  3. Step 3: Cross multiply
    9,324.25x = 13,981.98 × 2,749.14
  4. Step 4: Simplify right side
    9,324.25x = 38,438,430.81
  5. Step 5: Solve for x
    x = 38,438,430.81/9,324.25
  6. Step 6: Final answer
    x = 4,122.42

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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.