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Finding the Fourth Proportional to 9,698.05, 14,536.73 and 5,529.09

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Solution

The fourth proportional to 9,698.05, 14,536.73 and 5,529.09 is: 8,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.05 : 14,536.73 = 5,529.09 : x
  2. Step 2: Convert to fraction form
    9,698.05/14,536.73 = 5,529.09/x
  3. Step 3: Cross multiply
    9,698.05x = 14,536.73 × 5,529.09
  4. Step 4: Simplify right side
    9,698.05x = 80,374,810.83
  5. Step 5: Solve for x
    x = 80,374,810.83/9,698.05
  6. Step 6: Final answer
    x = 8,287.73

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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.