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Finding the Fourth Proportional to 9,793.00, 14,679.44 and 3,867.48

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Solution

The fourth proportional to 9,793.00, 14,679.44 and 3,867.48 is: 5,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.00 : 14,679.44 = 3,867.48 : x
  2. Step 2: Convert to fraction form
    9,793.00/14,679.44 = 3,867.48/x
  3. Step 3: Cross multiply
    9,793.00x = 14,679.44 × 3,867.48
  4. Step 4: Simplify right side
    9,793.00x = 56,772,430.94
  5. Step 5: Solve for x
    x = 56,772,430.94/9,793.00
  6. Step 6: Final answer
    x = 5,797.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.