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Finding the Fourth Proportional to 6,464.44, 9,696.03 and 2,085.04

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Solution

The fourth proportional to 6,464.44, 9,696.03 and 2,085.04 is: 3,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.44 : 9,696.03 = 2,085.04 : x
  2. Step 2: Convert to fraction form
    6,464.44/9,696.03 = 2,085.04/x
  3. Step 3: Cross multiply
    6,464.44x = 9,696.03 × 2,085.04
  4. Step 4: Simplify right side
    6,464.44x = 20,216,610.39
  5. Step 5: Solve for x
    x = 20,216,610.39/6,464.44
  6. Step 6: Final answer
    x = 3,127.36

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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.