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Finding the Fourth Proportional to 9,204.63, 13,807.08 and 3,361.83

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Solution

The fourth proportional to 9,204.63, 13,807.08 and 3,361.83 is: 5,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.63 : 13,807.08 = 3,361.83 : x
  2. Step 2: Convert to fraction form
    9,204.63/13,807.08 = 3,361.83/x
  3. Step 3: Cross multiply
    9,204.63x = 13,807.08 × 3,361.83
  4. Step 4: Simplify right side
    9,204.63x = 46,417,055.76
  5. Step 5: Solve for x
    x = 46,417,055.76/9,204.63
  6. Step 6: Final answer
    x = 5,042.79

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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.