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Finding the Fourth Proportional to 9,722.44, 13,412.76 and 5,945.78

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Solution

The fourth proportional to 9,722.44, 13,412.76 and 5,945.78 is: 8,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.44 : 13,412.76 = 5,945.78 : x
  2. Step 2: Convert to fraction form
    9,722.44/13,412.76 = 5,945.78/x
  3. Step 3: Cross multiply
    9,722.44x = 13,412.76 × 5,945.78
  4. Step 4: Simplify right side
    9,722.44x = 79,749,320.15
  5. Step 5: Solve for x
    x = 79,749,320.15/9,722.44
  6. Step 6: Final answer
    x = 8,202.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.