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Finding the Fourth Proportional to 9,761.50, 14,644.41 and 5,376.70

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Solution

The fourth proportional to 9,761.50, 14,644.41 and 5,376.70 is: 8,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.50 : 14,644.41 = 5,376.70 : x
  2. Step 2: Convert to fraction form
    9,761.50/14,644.41 = 5,376.70/x
  3. Step 3: Cross multiply
    9,761.50x = 14,644.41 × 5,376.70
  4. Step 4: Simplify right side
    9,761.50x = 78,738,599.25
  5. Step 5: Solve for x
    x = 78,738,599.25/9,761.50
  6. Step 6: Final answer
    x = 8,066.24

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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.