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Finding the Fourth Proportional to 9,345.70, 12,896.98 and 5,096.85

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Solution

The fourth proportional to 9,345.70, 12,896.98 and 5,096.85 is: 7,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.70 : 12,896.98 = 5,096.85 : x
  2. Step 2: Convert to fraction form
    9,345.70/12,896.98 = 5,096.85/x
  3. Step 3: Cross multiply
    9,345.70x = 12,896.98 × 5,096.85
  4. Step 4: Simplify right side
    9,345.70x = 65,733,972.51
  5. Step 5: Solve for x
    x = 65,733,972.51/9,345.70
  6. Step 6: Final answer
    x = 7,033.61

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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.