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Finding the Fourth Proportional to 7,229.35, 9,964.96 and 5,900.77

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Solution

The fourth proportional to 7,229.35, 9,964.96 and 5,900.77 is: 8,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.35 : 9,964.96 = 5,900.77 : x
  2. Step 2: Convert to fraction form
    7,229.35/9,964.96 = 5,900.77/x
  3. Step 3: Cross multiply
    7,229.35x = 9,964.96 × 5,900.77
  4. Step 4: Simplify right side
    7,229.35x = 58,800,937.02
  5. Step 5: Solve for x
    x = 58,800,937.02/7,229.35
  6. Step 6: Final answer
    x = 8,133.64

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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.