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Finding the Fourth Proportional to 6,828.24, 9,428.82 and 4,314.72

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Solution

The fourth proportional to 6,828.24, 9,428.82 and 4,314.72 is: 5,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.24 : 9,428.82 = 4,314.72 : x
  2. Step 2: Convert to fraction form
    6,828.24/9,428.82 = 4,314.72/x
  3. Step 3: Cross multiply
    6,828.24x = 9,428.82 × 4,314.72
  4. Step 4: Simplify right side
    6,828.24x = 40,682,718.23
  5. Step 5: Solve for x
    x = 40,682,718.23/6,828.24
  6. Step 6: Final answer
    x = 5,958.01

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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.