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Finding the Fourth Proportional to 6,812.44, 9,428.16 and 6,648.82

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Solution

The fourth proportional to 6,812.44, 9,428.16 and 6,648.82 is: 9,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.44 : 9,428.16 = 6,648.82 : x
  2. Step 2: Convert to fraction form
    6,812.44/9,428.16 = 6,648.82/x
  3. Step 3: Cross multiply
    6,812.44x = 9,428.16 × 6,648.82
  4. Step 4: Simplify right side
    6,812.44x = 62,686,138.77
  5. Step 5: Solve for x
    x = 62,686,138.77/6,812.44
  6. Step 6: Final answer
    x = 9,201.72

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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.