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Finding the Fourth Proportional to 9,819.77, 14,722.29 and 5,923.26

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Solution

The fourth proportional to 9,819.77, 14,722.29 and 5,923.26 is: 8,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.77 : 14,722.29 = 5,923.26 : x
  2. Step 2: Convert to fraction form
    9,819.77/14,722.29 = 5,923.26/x
  3. Step 3: Cross multiply
    9,819.77x = 14,722.29 × 5,923.26
  4. Step 4: Simplify right side
    9,819.77x = 87,203,951.47
  5. Step 5: Solve for x
    x = 87,203,951.47/9,819.77
  6. Step 6: Final answer
    x = 8,880.45

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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.