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Finding the Fourth Proportional to 6,089.67, 9,136.38 and 2,969.25

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Solution

The fourth proportional to 6,089.67, 9,136.38 and 2,969.25 is: 4,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.67 : 9,136.38 = 2,969.25 : x
  2. Step 2: Convert to fraction form
    6,089.67/9,136.38 = 2,969.25/x
  3. Step 3: Cross multiply
    6,089.67x = 9,136.38 × 2,969.25
  4. Step 4: Simplify right side
    6,089.67x = 27,128,196.32
  5. Step 5: Solve for x
    x = 27,128,196.32/6,089.67
  6. Step 6: Final answer
    x = 4,454.79

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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.