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Finding the Fourth Proportional to 6,289.92, 9,434.88 and 2,129.94

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Solution

The fourth proportional to 6,289.92, 9,434.88 and 2,129.94 is: 3,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.92 : 9,434.88 = 2,129.94 : x
  2. Step 2: Convert to fraction form
    6,289.92/9,434.88 = 2,129.94/x
  3. Step 3: Cross multiply
    6,289.92x = 9,434.88 × 2,129.94
  4. Step 4: Simplify right side
    6,289.92x = 20,095,728.31
  5. Step 5: Solve for x
    x = 20,095,728.31/6,289.92
  6. Step 6: Final answer
    x = 3,194.91

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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.