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Finding the Fourth Proportional to 9,323.16, 13,984.86 and 2,749.48

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Solution

The fourth proportional to 9,323.16, 13,984.86 and 2,749.48 is: 4,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.16 : 13,984.86 = 2,749.48 : x
  2. Step 2: Convert to fraction form
    9,323.16/13,984.86 = 2,749.48/x
  3. Step 3: Cross multiply
    9,323.16x = 13,984.86 × 2,749.48
  4. Step 4: Simplify right side
    9,323.16x = 38,451,092.87
  5. Step 5: Solve for x
    x = 38,451,092.87/9,323.16
  6. Step 6: Final answer
    x = 4,124.26

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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.