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Finding the Fourth Proportional to 9,608.49, 14,414.49 and 3,366.63

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Solution

The fourth proportional to 9,608.49, 14,414.49 and 3,366.63 is: 5,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.49 : 14,414.49 = 3,366.63 : x
  2. Step 2: Convert to fraction form
    9,608.49/14,414.49 = 3,366.63/x
  3. Step 3: Cross multiply
    9,608.49x = 14,414.49 × 3,366.63
  4. Step 4: Simplify right side
    9,608.49x = 48,528,254.47
  5. Step 5: Solve for x
    x = 48,528,254.47/9,608.49
  6. Step 6: Final answer
    x = 5,050.56

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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.