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Finding the Fourth Proportional to 6,254.78, 9,382.16 and 2,094.01

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Solution

The fourth proportional to 6,254.78, 9,382.16 and 2,094.01 is: 3,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.78 : 9,382.16 = 2,094.01 : x
  2. Step 2: Convert to fraction form
    6,254.78/9,382.16 = 2,094.01/x
  3. Step 3: Cross multiply
    6,254.78x = 9,382.16 × 2,094.01
  4. Step 4: Simplify right side
    6,254.78x = 19,646,318.64
  5. Step 5: Solve for x
    x = 19,646,318.64/6,254.78
  6. Step 6: Final answer
    x = 3,141.01

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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.