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Finding the Fourth Proportional to 9,093.26, 13,637.50 and 6,129.96

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Solution

The fourth proportional to 9,093.26, 13,637.50 and 6,129.96 is: 9,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.26 : 13,637.50 = 6,129.96 : x
  2. Step 2: Convert to fraction form
    9,093.26/13,637.50 = 6,129.96/x
  3. Step 3: Cross multiply
    9,093.26x = 13,637.50 × 6,129.96
  4. Step 4: Simplify right side
    9,093.26x = 83,597,329.50
  5. Step 5: Solve for x
    x = 83,597,329.50/9,093.26
  6. Step 6: Final answer
    x = 9,193.33

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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.