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Finding the Fourth Proportional to 6,508.20, 9,762.30 and 3,223.60

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Solution

The fourth proportional to 6,508.20, 9,762.30 and 3,223.60 is: 4,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.20 : 9,762.30 = 3,223.60 : x
  2. Step 2: Convert to fraction form
    6,508.20/9,762.30 = 3,223.60/x
  3. Step 3: Cross multiply
    6,508.20x = 9,762.30 × 3,223.60
  4. Step 4: Simplify right side
    6,508.20x = 31,469,750.28
  5. Step 5: Solve for x
    x = 31,469,750.28/6,508.20
  6. Step 6: Final answer
    x = 4,835.40

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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.