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Finding the Fourth Proportional to 9,361.89, 14,038.92 and 3,811.47

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Solution

The fourth proportional to 9,361.89, 14,038.92 and 3,811.47 is: 5,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.89 : 14,038.92 = 3,811.47 : x
  2. Step 2: Convert to fraction form
    9,361.89/14,038.92 = 3,811.47/x
  3. Step 3: Cross multiply
    9,361.89x = 14,038.92 × 3,811.47
  4. Step 4: Simplify right side
    9,361.89x = 53,508,922.41
  5. Step 5: Solve for x
    x = 53,508,922.41/9,361.89
  6. Step 6: Final answer
    x = 5,715.61

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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.