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Finding the Fourth Proportional to 9,523.56, 13,142.52 and 5,797.56

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Solution

The fourth proportional to 9,523.56, 13,142.52 and 5,797.56 is: 8,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.56 : 13,142.52 = 5,797.56 : x
  2. Step 2: Convert to fraction form
    9,523.56/13,142.52 = 5,797.56/x
  3. Step 3: Cross multiply
    9,523.56x = 13,142.52 × 5,797.56
  4. Step 4: Simplify right side
    9,523.56x = 76,194,548.25
  5. Step 5: Solve for x
    x = 76,194,548.25/9,523.56
  6. Step 6: Final answer
    x = 8,000.64

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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.