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Finding the Fourth Proportional to 9,608.75, 14,414.91 and 3,368.63

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Solution

The fourth proportional to 9,608.75, 14,414.91 and 3,368.63 is: 5,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.75 : 14,414.91 = 3,368.63 : x
  2. Step 2: Convert to fraction form
    9,608.75/14,414.91 = 3,368.63/x
  3. Step 3: Cross multiply
    9,608.75x = 14,414.91 × 3,368.63
  4. Step 4: Simplify right side
    9,608.75x = 48,558,498.27
  5. Step 5: Solve for x
    x = 48,558,498.27/9,608.75
  6. Step 6: Final answer
    x = 5,053.57

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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.