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Finding the Fourth Proportional to 9,216.20, 13,809.10 and 5,313.80

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Solution

The fourth proportional to 9,216.20, 13,809.10 and 5,313.80 is: 7,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.20 : 13,809.10 = 5,313.80 : x
  2. Step 2: Convert to fraction form
    9,216.20/13,809.10 = 5,313.80/x
  3. Step 3: Cross multiply
    9,216.20x = 13,809.10 × 5,313.80
  4. Step 4: Simplify right side
    9,216.20x = 73,378,795.58
  5. Step 5: Solve for x
    x = 73,378,795.58/9,216.20
  6. Step 6: Final answer
    x = 7,961.94

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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.