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Finding the Fourth Proportional to 9,142.99, 13,703.26 and 5,197.55

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Solution

The fourth proportional to 9,142.99, 13,703.26 and 5,197.55 is: 7,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.99 : 13,703.26 = 5,197.55 : x
  2. Step 2: Convert to fraction form
    9,142.99/13,703.26 = 5,197.55/x
  3. Step 3: Cross multiply
    9,142.99x = 13,703.26 × 5,197.55
  4. Step 4: Simplify right side
    9,142.99x = 71,223,353.03
  5. Step 5: Solve for x
    x = 71,223,353.03/9,142.99
  6. Step 6: Final answer
    x = 7,789.95

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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.