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Finding the Fourth Proportional to 9,102.93, 13,659.71 and 3,837.63

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Solution

The fourth proportional to 9,102.93, 13,659.71 and 3,837.63 is: 5,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.93 : 13,659.71 = 3,837.63 : x
  2. Step 2: Convert to fraction form
    9,102.93/13,659.71 = 3,837.63/x
  3. Step 3: Cross multiply
    9,102.93x = 13,659.71 × 3,837.63
  4. Step 4: Simplify right side
    9,102.93x = 52,420,893.70
  5. Step 5: Solve for x
    x = 52,420,893.70/9,102.93
  6. Step 6: Final answer
    x = 5,758.68

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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.