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Finding the Fourth Proportional to 9,361.70, 14,038.66 and 3,811.28

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Solution

The fourth proportional to 9,361.70, 14,038.66 and 3,811.28 is: 5,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.70 : 14,038.66 = 3,811.28 : x
  2. Step 2: Convert to fraction form
    9,361.70/14,038.66 = 3,811.28/x
  3. Step 3: Cross multiply
    9,361.70x = 14,038.66 × 3,811.28
  4. Step 4: Simplify right side
    9,361.70x = 53,505,184.36
  5. Step 5: Solve for x
    x = 53,505,184.36/9,361.70
  6. Step 6: Final answer
    x = 5,715.33

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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.