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Finding the Fourth Proportional to 9,412, 14,118.84 and 2,486.50

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Solution

The fourth proportional to 9,412, 14,118.84 and 2,486.50 is: 3,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412 : 14,118.84 = 2,486.50 : x
  2. Step 2: Convert to fraction form
    9,412/14,118.84 = 2,486.50/x
  3. Step 3: Cross multiply
    9,412x = 14,118.84 × 2,486.50
  4. Step 4: Simplify right side
    9,412x = 35,106,495.66
  5. Step 5: Solve for x
    x = 35,106,495.66/9,412
  6. Step 6: Final answer
    x = 3,729.97

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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.