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Finding the Fourth Proportional to 9,153.78, 12,631.05 and 5,965.62

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Solution

The fourth proportional to 9,153.78, 12,631.05 and 5,965.62 is: 8,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.78 : 12,631.05 = 5,965.62 : x
  2. Step 2: Convert to fraction form
    9,153.78/12,631.05 = 5,965.62/x
  3. Step 3: Cross multiply
    9,153.78x = 12,631.05 × 5,965.62
  4. Step 4: Simplify right side
    9,153.78x = 75,352,044.50
  5. Step 5: Solve for x
    x = 75,352,044.50/9,153.78
  6. Step 6: Final answer
    x = 8,231.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.