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Finding the Fourth Proportional to 9,277.86, 13,914.86 and 3,274.75

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Solution

The fourth proportional to 9,277.86, 13,914.86 and 3,274.75 is: 4,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.86 : 13,914.86 = 3,274.75 : x
  2. Step 2: Convert to fraction form
    9,277.86/13,914.86 = 3,274.75/x
  3. Step 3: Cross multiply
    9,277.86x = 13,914.86 × 3,274.75
  4. Step 4: Simplify right side
    9,277.86x = 45,567,661.18
  5. Step 5: Solve for x
    x = 45,567,661.18/9,277.86
  6. Step 6: Final answer
    x = 4,911.44

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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.