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Finding the Fourth Proportional to 9,822.67, 13,554.87 and 5,346.43

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Solution

The fourth proportional to 9,822.67, 13,554.87 and 5,346.43 is: 7,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.67 : 13,554.87 = 5,346.43 : x
  2. Step 2: Convert to fraction form
    9,822.67/13,554.87 = 5,346.43/x
  3. Step 3: Cross multiply
    9,822.67x = 13,554.87 × 5,346.43
  4. Step 4: Simplify right side
    9,822.67x = 72,470,163.61
  5. Step 5: Solve for x
    x = 72,470,163.61/9,822.67
  6. Step 6: Final answer
    x = 7,377.85

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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.