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Finding the Fourth Proportional to 6,204.40, 9,308.34 and 2,509.23

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Solution

The fourth proportional to 6,204.40, 9,308.34 and 2,509.23 is: 3,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.40 : 9,308.34 = 2,509.23 : x
  2. Step 2: Convert to fraction form
    6,204.40/9,308.34 = 2,509.23/x
  3. Step 3: Cross multiply
    6,204.40x = 9,308.34 × 2,509.23
  4. Step 4: Simplify right side
    6,204.40x = 23,356,730.65
  5. Step 5: Solve for x
    x = 23,356,730.65/6,204.40
  6. Step 6: Final answer
    x = 3,764.54

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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.