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Finding the Fourth Proportional to 6,804.35, 10,209.44 and 3,297.00

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Solution

The fourth proportional to 6,804.35, 10,209.44 and 3,297.00 is: 4,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.35 : 10,209.44 = 3,297.00 : x
  2. Step 2: Convert to fraction form
    6,804.35/10,209.44 = 3,297.00/x
  3. Step 3: Cross multiply
    6,804.35x = 10,209.44 × 3,297.00
  4. Step 4: Simplify right side
    6,804.35x = 33,660,570.21
  5. Step 5: Solve for x
    x = 33,660,570.21/6,804.35
  6. Step 6: Final answer
    x = 4,946.92

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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.