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Finding the Fourth Proportional to 6,375.63, 9,549.59 and 3,081.81

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Solution

The fourth proportional to 6,375.63, 9,549.59 and 3,081.81 is: 4,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.63 : 9,549.59 = 3,081.81 : x
  2. Step 2: Convert to fraction form
    6,375.63/9,549.59 = 3,081.81/x
  3. Step 3: Cross multiply
    6,375.63x = 9,549.59 × 3,081.81
  4. Step 4: Simplify right side
    6,375.63x = 29,430,021.96
  5. Step 5: Solve for x
    x = 29,430,021.96/6,375.63
  6. Step 6: Final answer
    x = 4,616.02

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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.