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Finding the Fourth Proportional to 9,527.58, 13,144.77 and 5,991.06

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Solution

The fourth proportional to 9,527.58, 13,144.77 and 5,991.06 is: 8,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.58 : 13,144.77 = 5,991.06 : x
  2. Step 2: Convert to fraction form
    9,527.58/13,144.77 = 5,991.06/x
  3. Step 3: Cross multiply
    9,527.58x = 13,144.77 × 5,991.06
  4. Step 4: Simplify right side
    9,527.58x = 78,751,105.76
  5. Step 5: Solve for x
    x = 78,751,105.76/9,527.58
  6. Step 6: Final answer
    x = 8,265.59

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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.