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Finding the Fourth Proportional to 9,746.67, 13,450.40 and 5,270.42

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Solution

The fourth proportional to 9,746.67, 13,450.40 and 5,270.42 is: 7,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.67 : 13,450.40 = 5,270.42 : x
  2. Step 2: Convert to fraction form
    9,746.67/13,450.40 = 5,270.42/x
  3. Step 3: Cross multiply
    9,746.67x = 13,450.40 × 5,270.42
  4. Step 4: Simplify right side
    9,746.67x = 70,889,163.56
  5. Step 5: Solve for x
    x = 70,889,163.56/9,746.67
  6. Step 6: Final answer
    x = 7,273.17

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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.