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Finding the Fourth Proportional to 9,698.20, 14,553.67 and 5,318.73

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Solution

The fourth proportional to 9,698.20, 14,553.67 and 5,318.73 is: 7,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.20 : 14,553.67 = 5,318.73 : x
  2. Step 2: Convert to fraction form
    9,698.20/14,553.67 = 5,318.73/x
  3. Step 3: Cross multiply
    9,698.20x = 14,553.67 × 5,318.73
  4. Step 4: Simplify right side
    9,698.20x = 77,407,041.24
  5. Step 5: Solve for x
    x = 77,407,041.24/9,698.20
  6. Step 6: Final answer
    x = 7,981.59

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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.