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Finding the Fourth Proportional to 6,089.84, 9,136.20 and 3,167.48

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Solution

The fourth proportional to 6,089.84, 9,136.20 and 3,167.48 is: 4,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.84 : 9,136.20 = 3,167.48 : x
  2. Step 2: Convert to fraction form
    6,089.84/9,136.20 = 3,167.48/x
  3. Step 3: Cross multiply
    6,089.84x = 9,136.20 × 3,167.48
  4. Step 4: Simplify right side
    6,089.84x = 28,938,730.78
  5. Step 5: Solve for x
    x = 28,938,730.78/6,089.84
  6. Step 6: Final answer
    x = 4,751.97

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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.