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Finding the Fourth Proportional to 9,293.81, 13,934.79 and 3,954.12

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Solution

The fourth proportional to 9,293.81, 13,934.79 and 3,954.12 is: 5,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.81 : 13,934.79 = 3,954.12 : x
  2. Step 2: Convert to fraction form
    9,293.81/13,934.79 = 3,954.12/x
  3. Step 3: Cross multiply
    9,293.81x = 13,934.79 × 3,954.12
  4. Step 4: Simplify right side
    9,293.81x = 55,099,831.83
  5. Step 5: Solve for x
    x = 55,099,831.83/9,293.81
  6. Step 6: Final answer
    x = 5,928.66

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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.