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Finding the Fourth Proportional to 9,830.85, 13,571.22 and 5,796.44

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Solution

The fourth proportional to 9,830.85, 13,571.22 and 5,796.44 is: 8,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.85 : 13,571.22 = 5,796.44 : x
  2. Step 2: Convert to fraction form
    9,830.85/13,571.22 = 5,796.44/x
  3. Step 3: Cross multiply
    9,830.85x = 13,571.22 × 5,796.44
  4. Step 4: Simplify right side
    9,830.85x = 78,664,762.46
  5. Step 5: Solve for x
    x = 78,664,762.46/9,830.85
  6. Step 6: Final answer
    x = 8,001.83

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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.