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Finding the Fourth Proportional to 9,822.98, 13,560.55 and 7,694.84

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Solution

The fourth proportional to 9,822.98, 13,560.55 and 7,694.84 is: 10,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.98 : 13,560.55 = 7,694.84 : x
  2. Step 2: Convert to fraction form
    9,822.98/13,560.55 = 7,694.84/x
  3. Step 3: Cross multiply
    9,822.98x = 13,560.55 × 7,694.84
  4. Step 4: Simplify right side
    9,822.98x = 104,346,262.56
  5. Step 5: Solve for x
    x = 104,346,262.56/9,822.98
  6. Step 6: Final answer
    x = 10,622.67

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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.