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Finding the Fourth Proportional to 6,024.38, 9,036.56 and 1,864.22

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Solution

The fourth proportional to 6,024.38, 9,036.56 and 1,864.22 is: 2,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.38 : 9,036.56 = 1,864.22 : x
  2. Step 2: Convert to fraction form
    6,024.38/9,036.56 = 1,864.22/x
  3. Step 3: Cross multiply
    6,024.38x = 9,036.56 × 1,864.22
  4. Step 4: Simplify right side
    6,024.38x = 16,846,095.36
  5. Step 5: Solve for x
    x = 16,846,095.36/6,024.38
  6. Step 6: Final answer
    x = 2,796.32

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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.