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Finding the Fourth Proportional to 9,205.14, 13,809.76 and 3,361.74

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Solution

The fourth proportional to 9,205.14, 13,809.76 and 3,361.74 is: 5,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.14 : 13,809.76 = 3,361.74 : x
  2. Step 2: Convert to fraction form
    9,205.14/13,809.76 = 3,361.74/x
  3. Step 3: Cross multiply
    9,205.14x = 13,809.76 × 3,361.74
  4. Step 4: Simplify right side
    9,205.14x = 46,424,822.58
  5. Step 5: Solve for x
    x = 46,424,822.58/9,205.14
  6. Step 6: Final answer
    x = 5,043.36

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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.