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Finding the Fourth Proportional to 6,204.65, 9,286.18 and 5,094.01

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Solution

The fourth proportional to 6,204.65, 9,286.18 and 5,094.01 is: 7,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.65 : 9,286.18 = 5,094.01 : x
  2. Step 2: Convert to fraction form
    6,204.65/9,286.18 = 5,094.01/x
  3. Step 3: Cross multiply
    6,204.65x = 9,286.18 × 5,094.01
  4. Step 4: Simplify right side
    6,204.65x = 47,303,893.78
  5. Step 5: Solve for x
    x = 47,303,893.78/6,204.65
  6. Step 6: Final answer
    x = 7,623.94

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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.