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Finding the Fourth Proportional to 9,698.82, 14,519.48 and 5,989.10

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Solution

The fourth proportional to 9,698.82, 14,519.48 and 5,989.10 is: 8,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.82 : 14,519.48 = 5,989.10 : x
  2. Step 2: Convert to fraction form
    9,698.82/14,519.48 = 5,989.10/x
  3. Step 3: Cross multiply
    9,698.82x = 14,519.48 × 5,989.10
  4. Step 4: Simplify right side
    9,698.82x = 86,958,617.67
  5. Step 5: Solve for x
    x = 86,958,617.67/9,698.82
  6. Step 6: Final answer
    x = 8,965.90

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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.