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Finding the Fourth Proportional to 6,024.42, 9,035.94 and 1,864.44

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Solution

The fourth proportional to 6,024.42, 9,035.94 and 1,864.44 is: 2,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.42 : 9,035.94 = 1,864.44 : x
  2. Step 2: Convert to fraction form
    6,024.42/9,035.94 = 1,864.44/x
  3. Step 3: Cross multiply
    6,024.42x = 9,035.94 × 1,864.44
  4. Step 4: Simplify right side
    6,024.42x = 16,846,967.97
  5. Step 5: Solve for x
    x = 16,846,967.97/6,024.42
  6. Step 6: Final answer
    x = 2,796.45

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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.