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Finding the Fourth Proportional to 9,694.44, 13,374.18 and 6,336

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Solution

The fourth proportional to 9,694.44, 13,374.18 and 6,336 is: 8,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.44 : 13,374.18 = 6,336 : x
  2. Step 2: Convert to fraction form
    9,694.44/13,374.18 = 6,336/x
  3. Step 3: Cross multiply
    9,694.44x = 13,374.18 × 6,336
  4. Step 4: Simplify right side
    9,694.44x = 84,738,804.48
  5. Step 5: Solve for x
    x = 84,738,804.48/9,694.44
  6. Step 6: Final answer
    x = 8,740.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.