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Finding the Fourth Proportional to 9,205.40, 13,810.13 and 3,361.98

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Solution

The fourth proportional to 9,205.40, 13,810.13 and 3,361.98 is: 5,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.40 : 13,810.13 = 3,361.98 : x
  2. Step 2: Convert to fraction form
    9,205.40/13,810.13 = 3,361.98/x
  3. Step 3: Cross multiply
    9,205.40x = 13,810.13 × 3,361.98
  4. Step 4: Simplify right side
    9,205.40x = 46,429,364.05
  5. Step 5: Solve for x
    x = 46,429,364.05/9,205.40
  6. Step 6: Final answer
    x = 5,043.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.