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Finding the Fourth Proportional to 9,291.77, 13,942.20 and 4,361.81

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Solution

The fourth proportional to 9,291.77, 13,942.20 and 4,361.81 is: 6,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.77 : 13,942.20 = 4,361.81 : x
  2. Step 2: Convert to fraction form
    9,291.77/13,942.20 = 4,361.81/x
  3. Step 3: Cross multiply
    9,291.77x = 13,942.20 × 4,361.81
  4. Step 4: Simplify right side
    9,291.77x = 60,813,157.67
  5. Step 5: Solve for x
    x = 60,813,157.67/9,291.77
  6. Step 6: Final answer
    x = 6,544.84

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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.