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Finding the Fourth Proportional to 9,771.36, 13,483.83 and 6,234.20

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Solution

The fourth proportional to 9,771.36, 13,483.83 and 6,234.20 is: 8,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.36 : 13,483.83 = 6,234.20 : x
  2. Step 2: Convert to fraction form
    9,771.36/13,483.83 = 6,234.20/x
  3. Step 3: Cross multiply
    9,771.36x = 13,483.83 × 6,234.20
  4. Step 4: Simplify right side
    9,771.36x = 84,060,825.57
  5. Step 5: Solve for x
    x = 84,060,825.57/9,771.36
  6. Step 6: Final answer
    x = 8,602.78

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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.