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Finding the Fourth Proportional to 6,197.16, 9,296 and 1,814.62

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Solution

The fourth proportional to 6,197.16, 9,296 and 1,814.62 is: 2,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.16 : 9,296 = 1,814.62 : x
  2. Step 2: Convert to fraction form
    6,197.16/9,296 = 1,814.62/x
  3. Step 3: Cross multiply
    6,197.16x = 9,296 × 1,814.62
  4. Step 4: Simplify right side
    6,197.16x = 16,868,707.52
  5. Step 5: Solve for x
    x = 16,868,707.52/6,197.16
  6. Step 6: Final answer
    x = 2,722.01

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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.