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Finding the Fourth Proportional to 9,104.97, 13,657.48 and 2,865.54

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Solution

The fourth proportional to 9,104.97, 13,657.48 and 2,865.54 is: 4,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.97 : 13,657.48 = 2,865.54 : x
  2. Step 2: Convert to fraction form
    9,104.97/13,657.48 = 2,865.54/x
  3. Step 3: Cross multiply
    9,104.97x = 13,657.48 × 2,865.54
  4. Step 4: Simplify right side
    9,104.97x = 39,136,099.29
  5. Step 5: Solve for x
    x = 39,136,099.29/9,104.97
  6. Step 6: Final answer
    x = 4,298.32

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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.