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Finding the Fourth Proportional to 9,608.50, 14,418.42 and 4,061.50

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Solution

The fourth proportional to 9,608.50, 14,418.42 and 4,061.50 is: 6,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.50 : 14,418.42 = 4,061.50 : x
  2. Step 2: Convert to fraction form
    9,608.50/14,418.42 = 4,061.50/x
  3. Step 3: Cross multiply
    9,608.50x = 14,418.42 × 4,061.50
  4. Step 4: Simplify right side
    9,608.50x = 58,560,412.83
  5. Step 5: Solve for x
    x = 58,560,412.83/9,608.50
  6. Step 6: Final answer
    x = 6,094.65

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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.