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Finding the Fourth Proportional to 9,566.41, 14,350.44 and 2,640.91

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Solution

The fourth proportional to 9,566.41, 14,350.44 and 2,640.91 is: 3,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.41 : 14,350.44 = 2,640.91 : x
  2. Step 2: Convert to fraction form
    9,566.41/14,350.44 = 2,640.91/x
  3. Step 3: Cross multiply
    9,566.41x = 14,350.44 × 2,640.91
  4. Step 4: Simplify right side
    9,566.41x = 37,898,220.50
  5. Step 5: Solve for x
    x = 37,898,220.50/9,566.41
  6. Step 6: Final answer
    x = 3,961.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.