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Finding the Fourth Proportional to 9,323.80, 13,984.35 and 2,749.66

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Solution

The fourth proportional to 9,323.80, 13,984.35 and 2,749.66 is: 4,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.80 : 13,984.35 = 2,749.66 : x
  2. Step 2: Convert to fraction form
    9,323.80/13,984.35 = 2,749.66/x
  3. Step 3: Cross multiply
    9,323.80x = 13,984.35 × 2,749.66
  4. Step 4: Simplify right side
    9,323.80x = 38,452,207.82
  5. Step 5: Solve for x
    x = 38,452,207.82/9,323.80
  6. Step 6: Final answer
    x = 4,124.09

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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.