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Finding the Fourth Proportional to 7,234.77, 9,983.41 and 4,209.42

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Solution

The fourth proportional to 7,234.77, 9,983.41 and 4,209.42 is: 5,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.77 : 9,983.41 = 4,209.42 : x
  2. Step 2: Convert to fraction form
    7,234.77/9,983.41 = 4,209.42/x
  3. Step 3: Cross multiply
    7,234.77x = 9,983.41 × 4,209.42
  4. Step 4: Simplify right side
    7,234.77x = 42,024,365.72
  5. Step 5: Solve for x
    x = 42,024,365.72/7,234.77
  6. Step 6: Final answer
    x = 5,808.67

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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.