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Finding the Fourth Proportional to 9,345.22, 12,896.72 and 5,096.51

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Solution

The fourth proportional to 9,345.22, 12,896.72 and 5,096.51 is: 7,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.22 : 12,896.72 = 5,096.51 : x
  2. Step 2: Convert to fraction form
    9,345.22/12,896.72 = 5,096.51/x
  3. Step 3: Cross multiply
    9,345.22x = 12,896.72 × 5,096.51
  4. Step 4: Simplify right side
    9,345.22x = 65,728,311.62
  5. Step 5: Solve for x
    x = 65,728,311.62/9,345.22
  6. Step 6: Final answer
    x = 7,033.36

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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.