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Finding the Fourth Proportional to 9,324.04, 13,988 and 2,749.68

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Solution

The fourth proportional to 9,324.04, 13,988 and 2,749.68 is: 4,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.04 : 13,988 = 2,749.68 : x
  2. Step 2: Convert to fraction form
    9,324.04/13,988 = 2,749.68/x
  3. Step 3: Cross multiply
    9,324.04x = 13,988 × 2,749.68
  4. Step 4: Simplify right side
    9,324.04x = 38,462,523.84
  5. Step 5: Solve for x
    x = 38,462,523.84/9,324.04
  6. Step 6: Final answer
    x = 4,125.09

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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.