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Finding the Fourth Proportional to 6,197.64, 9,294.60 and 1,814.04

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Solution

The fourth proportional to 6,197.64, 9,294.60 and 1,814.04 is: 2,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.64 : 9,294.60 = 1,814.04 : x
  2. Step 2: Convert to fraction form
    6,197.64/9,294.60 = 1,814.04/x
  3. Step 3: Cross multiply
    6,197.64x = 9,294.60 × 1,814.04
  4. Step 4: Simplify right side
    6,197.64x = 16,860,776.18
  5. Step 5: Solve for x
    x = 16,860,776.18/6,197.64
  6. Step 6: Final answer
    x = 2,720.52

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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.