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Finding the Fourth Proportional to 8,894.37, 13,337.46 and 5,197.74

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Solution

The fourth proportional to 8,894.37, 13,337.46 and 5,197.74 is: 7,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.37 : 13,337.46 = 5,197.74 : x
  2. Step 2: Convert to fraction form
    8,894.37/13,337.46 = 5,197.74/x
  3. Step 3: Cross multiply
    8,894.37x = 13,337.46 × 5,197.74
  4. Step 4: Simplify right side
    8,894.37x = 69,324,599.32
  5. Step 5: Solve for x
    x = 69,324,599.32/8,894.37
  6. Step 6: Final answer
    x = 7,794.21

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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.