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Finding the Fourth Proportional to 9,336, 14,005.92 and 3,864

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Solution

The fourth proportional to 9,336, 14,005.92 and 3,864 is: 5,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336 : 14,005.92 = 3,864 : x
  2. Step 2: Convert to fraction form
    9,336/14,005.92 = 3,864/x
  3. Step 3: Cross multiply
    9,336x = 14,005.92 × 3,864
  4. Step 4: Simplify right side
    9,336x = 54,118,874.88
  5. Step 5: Solve for x
    x = 54,118,874.88/9,336
  6. Step 6: Final answer
    x = 5,796.79

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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.