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Finding the Fourth Proportional to 6,289.79, 9,434.14 and 2,129.70

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Solution

The fourth proportional to 6,289.79, 9,434.14 and 2,129.70 is: 3,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.79 : 9,434.14 = 2,129.70 : x
  2. Step 2: Convert to fraction form
    6,289.79/9,434.14 = 2,129.70/x
  3. Step 3: Cross multiply
    6,289.79x = 9,434.14 × 2,129.70
  4. Step 4: Simplify right side
    6,289.79x = 20,091,882.63
  5. Step 5: Solve for x
    x = 20,091,882.63/6,289.79
  6. Step 6: Final answer
    x = 3,194.37

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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.