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Finding the Fourth Proportional to 9,825.52, 13,559.57 and 5,349.05

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Solution

The fourth proportional to 9,825.52, 13,559.57 and 5,349.05 is: 7,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.52 : 13,559.57 = 5,349.05 : x
  2. Step 2: Convert to fraction form
    9,825.52/13,559.57 = 5,349.05/x
  3. Step 3: Cross multiply
    9,825.52x = 13,559.57 × 5,349.05
  4. Step 4: Simplify right side
    9,825.52x = 72,530,791.16
  5. Step 5: Solve for x
    x = 72,530,791.16/9,825.52
  6. Step 6: Final answer
    x = 7,381.88

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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.