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Finding the Fourth Proportional to 6,226.34, 9,341.00 and 2,330.78

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Solution

The fourth proportional to 6,226.34, 9,341.00 and 2,330.78 is: 3,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.34 : 9,341.00 = 2,330.78 : x
  2. Step 2: Convert to fraction form
    6,226.34/9,341.00 = 2,330.78/x
  3. Step 3: Cross multiply
    6,226.34x = 9,341.00 × 2,330.78
  4. Step 4: Simplify right side
    6,226.34x = 21,771,804.33
  5. Step 5: Solve for x
    x = 21,771,804.33/6,226.34
  6. Step 6: Final answer
    x = 3,496.73

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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.