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Finding the Fourth Proportional to 6,406.40, 9,605.61 and 2,246.82

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Solution

The fourth proportional to 6,406.40, 9,605.61 and 2,246.82 is: 3,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.40 : 9,605.61 = 2,246.82 : x
  2. Step 2: Convert to fraction form
    6,406.40/9,605.61 = 2,246.82/x
  3. Step 3: Cross multiply
    6,406.40x = 9,605.61 × 2,246.82
  4. Step 4: Simplify right side
    6,406.40x = 21,582,076.66
  5. Step 5: Solve for x
    x = 21,582,076.66/6,406.40
  6. Step 6: Final answer
    x = 3,368.83

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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.