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Finding the Fourth Proportional to 9,036, 13,554.93 and 2,462.64

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Solution

The fourth proportional to 9,036, 13,554.93 and 2,462.64 is: 3,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036 : 13,554.93 = 2,462.64 : x
  2. Step 2: Convert to fraction form
    9,036/13,554.93 = 2,462.64/x
  3. Step 3: Cross multiply
    9,036x = 13,554.93 × 2,462.64
  4. Step 4: Simplify right side
    9,036x = 33,380,912.82
  5. Step 5: Solve for x
    x = 33,380,912.82/9,036
  6. Step 6: Final answer
    x = 3,694.21

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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.