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Finding the Fourth Proportional to 9,412.44, 12,994.62 and 5,877.48

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Solution

The fourth proportional to 9,412.44, 12,994.62 and 5,877.48 is: 8,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.44 : 12,994.62 = 5,877.48 : x
  2. Step 2: Convert to fraction form
    9,412.44/12,994.62 = 5,877.48/x
  3. Step 3: Cross multiply
    9,412.44x = 12,994.62 × 5,877.48
  4. Step 4: Simplify right side
    9,412.44x = 76,375,619.16
  5. Step 5: Solve for x
    x = 76,375,619.16/9,412.44
  6. Step 6: Final answer
    x = 8,114.33

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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.