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Finding the Fourth Proportional to 6,094.44, 9,138.47 and 2,144.93

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Solution

The fourth proportional to 6,094.44, 9,138.47 and 2,144.93 is: 3,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.44 : 9,138.47 = 2,144.93 : x
  2. Step 2: Convert to fraction form
    6,094.44/9,138.47 = 2,144.93/x
  3. Step 3: Cross multiply
    6,094.44x = 9,138.47 × 2,144.93
  4. Step 4: Simplify right side
    6,094.44x = 19,601,385.51
  5. Step 5: Solve for x
    x = 19,601,385.51/6,094.44
  6. Step 6: Final answer
    x = 3,216.27

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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.