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Finding the Fourth Proportional to 6,228.86, 9,343.36 and 1,846.34

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Solution

The fourth proportional to 6,228.86, 9,343.36 and 1,846.34 is: 2,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.86 : 9,343.36 = 1,846.34 : x
  2. Step 2: Convert to fraction form
    6,228.86/9,343.36 = 1,846.34/x
  3. Step 3: Cross multiply
    6,228.86x = 9,343.36 × 1,846.34
  4. Step 4: Simplify right side
    6,228.86x = 17,251,019.30
  5. Step 5: Solve for x
    x = 17,251,019.30/6,228.86
  6. Step 6: Final answer
    x = 2,769.53

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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.