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Finding the Fourth Proportional to 6,460.20, 8,912.78 and 4,223.37

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Solution

The fourth proportional to 6,460.20, 8,912.78 and 4,223.37 is: 5,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.20 : 8,912.78 = 4,223.37 : x
  2. Step 2: Convert to fraction form
    6,460.20/8,912.78 = 4,223.37/x
  3. Step 3: Cross multiply
    6,460.20x = 8,912.78 × 4,223.37
  4. Step 4: Simplify right side
    6,460.20x = 37,641,967.67
  5. Step 5: Solve for x
    x = 37,641,967.67/6,460.20
  6. Step 6: Final answer
    x = 5,826.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.