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Finding the Fourth Proportional to 9,291.27, 13,933.26 and 4,093.50

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Solution

The fourth proportional to 9,291.27, 13,933.26 and 4,093.50 is: 6,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.27 : 13,933.26 = 4,093.50 : x
  2. Step 2: Convert to fraction form
    9,291.27/13,933.26 = 4,093.50/x
  3. Step 3: Cross multiply
    9,291.27x = 13,933.26 × 4,093.50
  4. Step 4: Simplify right side
    9,291.27x = 57,035,799.81
  5. Step 5: Solve for x
    x = 57,035,799.81/9,291.27
  6. Step 6: Final answer
    x = 6,138.64

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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.