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Finding the Fourth Proportional to 6,466.29, 9,699.44 and 2,083.83

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Solution

The fourth proportional to 6,466.29, 9,699.44 and 2,083.83 is: 3,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.29 : 9,699.44 = 2,083.83 : x
  2. Step 2: Convert to fraction form
    6,466.29/9,699.44 = 2,083.83/x
  3. Step 3: Cross multiply
    6,466.29x = 9,699.44 × 2,083.83
  4. Step 4: Simplify right side
    6,466.29x = 20,211,984.06
  5. Step 5: Solve for x
    x = 20,211,984.06/6,466.29
  6. Step 6: Final answer
    x = 3,125.75

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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.