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Finding the Fourth Proportional to 9,820.96, 13,550.48 and 6,234.56

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Solution

The fourth proportional to 9,820.96, 13,550.48 and 6,234.56 is: 8,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.96 : 13,550.48 = 6,234.56 : x
  2. Step 2: Convert to fraction form
    9,820.96/13,550.48 = 6,234.56/x
  3. Step 3: Cross multiply
    9,820.96x = 13,550.48 × 6,234.56
  4. Step 4: Simplify right side
    9,820.96x = 84,481,280.59
  5. Step 5: Solve for x
    x = 84,481,280.59/9,820.96
  6. Step 6: Final answer
    x = 8,602.14

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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.