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Finding the Fourth Proportional to 12,804.62, 19,202.60 and 6,226.62

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Solution

The fourth proportional to 12,804.62, 19,202.60 and 6,226.62 is: 9,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.62 : 19,202.60 = 6,226.62 : x
  2. Step 2: Convert to fraction form
    12,804.62/19,202.60 = 6,226.62/x
  3. Step 3: Cross multiply
    12,804.62x = 19,202.60 × 6,226.62
  4. Step 4: Simplify right side
    12,804.62x = 119,567,293.21
  5. Step 5: Solve for x
    x = 119,567,293.21/12,804.62
  6. Step 6: Final answer
    x = 9,337.82

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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.