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Finding the Fourth Proportional to 9,343.70, 12,896.82 and 6,317.44

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Solution

The fourth proportional to 9,343.70, 12,896.82 and 6,317.44 is: 8,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.70 : 12,896.82 = 6,317.44 : x
  2. Step 2: Convert to fraction form
    9,343.70/12,896.82 = 6,317.44/x
  3. Step 3: Cross multiply
    9,343.70x = 12,896.82 × 6,317.44
  4. Step 4: Simplify right side
    9,343.70x = 81,474,886.54
  5. Step 5: Solve for x
    x = 81,474,886.54/9,343.70
  6. Step 6: Final answer
    x = 8,719.77

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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.