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Finding the Fourth Proportional to 9,412.62, 14,118.78 and 2,838.54

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Solution

The fourth proportional to 9,412.62, 14,118.78 and 2,838.54 is: 4,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.62 : 14,118.78 = 2,838.54 : x
  2. Step 2: Convert to fraction form
    9,412.62/14,118.78 = 2,838.54/x
  3. Step 3: Cross multiply
    9,412.62x = 14,118.78 × 2,838.54
  4. Step 4: Simplify right side
    9,412.62x = 40,076,721.78
  5. Step 5: Solve for x
    x = 40,076,721.78/9,412.62
  6. Step 6: Final answer
    x = 4,257.76

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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.