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Finding the Fourth Proportional to 6,550.31, 9,830.22 and 4,911.27

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Solution

The fourth proportional to 6,550.31, 9,830.22 and 4,911.27 is: 7,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.31 : 9,830.22 = 4,911.27 : x
  2. Step 2: Convert to fraction form
    6,550.31/9,830.22 = 4,911.27/x
  3. Step 3: Cross multiply
    6,550.31x = 9,830.22 × 4,911.27
  4. Step 4: Simplify right side
    6,550.31x = 48,278,840.02
  5. Step 5: Solve for x
    x = 48,278,840.02/6,550.31
  6. Step 6: Final answer
    x = 7,370.47

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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.