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Finding the Fourth Proportional to 6,788.63, 9,368.00 and 3,804.44

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Solution

The fourth proportional to 6,788.63, 9,368.00 and 3,804.44 is: 5,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.63 : 9,368.00 = 3,804.44 : x
  2. Step 2: Convert to fraction form
    6,788.63/9,368.00 = 3,804.44/x
  3. Step 3: Cross multiply
    6,788.63x = 9,368.00 × 3,804.44
  4. Step 4: Simplify right side
    6,788.63x = 35,639,928.06
  5. Step 5: Solve for x
    x = 35,639,928.06/6,788.63
  6. Step 6: Final answer
    x = 5,249.95

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Why These Related Problems?

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