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Finding the Fourth Proportional to 6,346.89, 9,514.65 and 2,450.40

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Solution

The fourth proportional to 6,346.89, 9,514.65 and 2,450.40 is: 3,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.89 : 9,514.65 = 2,450.40 : x
  2. Step 2: Convert to fraction form
    6,346.89/9,514.65 = 2,450.40/x
  3. Step 3: Cross multiply
    6,346.89x = 9,514.65 × 2,450.40
  4. Step 4: Simplify right side
    6,346.89x = 23,314,698.36
  5. Step 5: Solve for x
    x = 23,314,698.36/6,346.89
  6. Step 6: Final answer
    x = 3,673.41

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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.