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Finding the Fourth Proportional to 6,828.63, 9,419.18 and 4,306.34

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Solution

The fourth proportional to 6,828.63, 9,419.18 and 4,306.34 is: 5,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.63 : 9,419.18 = 4,306.34 : x
  2. Step 2: Convert to fraction form
    6,828.63/9,419.18 = 4,306.34/x
  3. Step 3: Cross multiply
    6,828.63x = 9,419.18 × 4,306.34
  4. Step 4: Simplify right side
    6,828.63x = 40,562,122.97
  5. Step 5: Solve for x
    x = 40,562,122.97/6,828.63
  6. Step 6: Final answer
    x = 5,940.01

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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.