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Finding the Fourth Proportional to 9,738.36, 13,450.02 and 6,546.12

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Solution

The fourth proportional to 9,738.36, 13,450.02 and 6,546.12 is: 9,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.36 : 13,450.02 = 6,546.12 : x
  2. Step 2: Convert to fraction form
    9,738.36/13,450.02 = 6,546.12/x
  3. Step 3: Cross multiply
    9,738.36x = 13,450.02 × 6,546.12
  4. Step 4: Simplify right side
    9,738.36x = 88,045,377.67
  5. Step 5: Solve for x
    x = 88,045,377.67/9,738.36
  6. Step 6: Final answer
    x = 9,041.09

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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.