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Finding the Fourth Proportional to 6,136.39, 9,197.69 and 2,624.64

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Solution

The fourth proportional to 6,136.39, 9,197.69 and 2,624.64 is: 3,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.39 : 9,197.69 = 2,624.64 : x
  2. Step 2: Convert to fraction form
    6,136.39/9,197.69 = 2,624.64/x
  3. Step 3: Cross multiply
    6,136.39x = 9,197.69 × 2,624.64
  4. Step 4: Simplify right side
    6,136.39x = 24,140,577.47
  5. Step 5: Solve for x
    x = 24,140,577.47/6,136.39
  6. Step 6: Final answer
    x = 3,934.00

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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.