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Finding the Fourth Proportional to 6,226.79, 9,341.09 and 1,843.67

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Solution

The fourth proportional to 6,226.79, 9,341.09 and 1,843.67 is: 2,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.79 : 9,341.09 = 1,843.67 : x
  2. Step 2: Convert to fraction form
    6,226.79/9,341.09 = 1,843.67/x
  3. Step 3: Cross multiply
    6,226.79x = 9,341.09 × 1,843.67
  4. Step 4: Simplify right side
    6,226.79x = 17,221,887.40
  5. Step 5: Solve for x
    x = 17,221,887.40/6,226.79
  6. Step 6: Final answer
    x = 2,765.77

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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.