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Finding the Fourth Proportional to 9,396.81, 14,094.81 and 3,848.31

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Solution

The fourth proportional to 9,396.81, 14,094.81 and 3,848.31 is: 5,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.81 : 14,094.81 = 3,848.31 : x
  2. Step 2: Convert to fraction form
    9,396.81/14,094.81 = 3,848.31/x
  3. Step 3: Cross multiply
    9,396.81x = 14,094.81 × 3,848.31
  4. Step 4: Simplify right side
    9,396.81x = 54,241,198.27
  5. Step 5: Solve for x
    x = 54,241,198.27/9,396.81
  6. Step 6: Final answer
    x = 5,772.30

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Why These Related Problems?

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