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Finding the Fourth Proportional to 6,289.97, 9,434.54 and 2,129.63

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Solution

The fourth proportional to 6,289.97, 9,434.54 and 2,129.63 is: 3,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.97 : 9,434.54 = 2,129.63 : x
  2. Step 2: Convert to fraction form
    6,289.97/9,434.54 = 2,129.63/x
  3. Step 3: Cross multiply
    6,289.97x = 9,434.54 × 2,129.63
  4. Step 4: Simplify right side
    6,289.97x = 20,092,037.57
  5. Step 5: Solve for x
    x = 20,092,037.57/6,289.97
  6. Step 6: Final answer
    x = 3,194.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.