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Finding the Fourth Proportional to 6,546.45, 9,804.96 and 5,081.16

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Solution

The fourth proportional to 6,546.45, 9,804.96 and 5,081.16 is: 7,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.45 : 9,804.96 = 5,081.16 : x
  2. Step 2: Convert to fraction form
    6,546.45/9,804.96 = 5,081.16/x
  3. Step 3: Cross multiply
    6,546.45x = 9,804.96 × 5,081.16
  4. Step 4: Simplify right side
    6,546.45x = 49,820,570.55
  5. Step 5: Solve for x
    x = 49,820,570.55/6,546.45
  6. Step 6: Final answer
    x = 7,610.32

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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.