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Finding the Fourth Proportional to 6,392.31, 9,594.19 and 3,274.45

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Solution

The fourth proportional to 6,392.31, 9,594.19 and 3,274.45 is: 4,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.31 : 9,594.19 = 3,274.45 : x
  2. Step 2: Convert to fraction form
    6,392.31/9,594.19 = 3,274.45/x
  3. Step 3: Cross multiply
    6,392.31x = 9,594.19 × 3,274.45
  4. Step 4: Simplify right side
    6,392.31x = 31,415,695.45
  5. Step 5: Solve for x
    x = 31,415,695.45/6,392.31
  6. Step 6: Final answer
    x = 4,914.61

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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.