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Finding the Fourth Proportional to 9,345.68, 12,896.69 and 5,096.66

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Solution

The fourth proportional to 9,345.68, 12,896.69 and 5,096.66 is: 7,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.68 : 12,896.69 = 5,096.66 : x
  2. Step 2: Convert to fraction form
    9,345.68/12,896.69 = 5,096.66/x
  3. Step 3: Cross multiply
    9,345.68x = 12,896.69 × 5,096.66
  4. Step 4: Simplify right side
    9,345.68x = 65,729,954.09
  5. Step 5: Solve for x
    x = 65,729,954.09/9,345.68
  6. Step 6: Final answer
    x = 7,033.19

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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.