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Finding the Fourth Proportional to 6,823.30, 9,419.46 and 4,309.06

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Solution

The fourth proportional to 6,823.30, 9,419.46 and 4,309.06 is: 5,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.30 : 9,419.46 = 4,309.06 : x
  2. Step 2: Convert to fraction form
    6,823.30/9,419.46 = 4,309.06/x
  3. Step 3: Cross multiply
    6,823.30x = 9,419.46 × 4,309.06
  4. Step 4: Simplify right side
    6,823.30x = 40,589,018.31
  5. Step 5: Solve for x
    x = 40,589,018.31/6,823.30
  6. Step 6: Final answer
    x = 5,948.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.