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Finding the Fourth Proportional to 9,768.82, 14,661.40 and 4,226.38

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Solution

The fourth proportional to 9,768.82, 14,661.40 and 4,226.38 is: 6,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.82 : 14,661.40 = 4,226.38 : x
  2. Step 2: Convert to fraction form
    9,768.82/14,661.40 = 4,226.38/x
  3. Step 3: Cross multiply
    9,768.82x = 14,661.40 × 4,226.38
  4. Step 4: Simplify right side
    9,768.82x = 61,964,647.73
  5. Step 5: Solve for x
    x = 61,964,647.73/9,768.82
  6. Step 6: Final answer
    x = 6,343.10

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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.