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Finding the Fourth Proportional to 6,653.36, 9,182.74 and 4,002.23

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Solution

The fourth proportional to 6,653.36, 9,182.74 and 4,002.23 is: 5,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.36 : 9,182.74 = 4,002.23 : x
  2. Step 2: Convert to fraction form
    6,653.36/9,182.74 = 4,002.23/x
  3. Step 3: Cross multiply
    6,653.36x = 9,182.74 × 4,002.23
  4. Step 4: Simplify right side
    6,653.36x = 36,751,450.46
  5. Step 5: Solve for x
    x = 36,751,450.46/6,653.36
  6. Step 6: Final answer
    x = 5,523.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.