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Finding the Fourth Proportional to 8,923.50, 12,314.43 and 5,197.50

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Solution

The fourth proportional to 8,923.50, 12,314.43 and 5,197.50 is: 7,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.50 : 12,314.43 = 5,197.50 : x
  2. Step 2: Convert to fraction form
    8,923.50/12,314.43 = 5,197.50/x
  3. Step 3: Cross multiply
    8,923.50x = 12,314.43 × 5,197.50
  4. Step 4: Simplify right side
    8,923.50x = 64,004,249.93
  5. Step 5: Solve for x
    x = 64,004,249.93/8,923.50
  6. Step 6: Final answer
    x = 7,172.55

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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.