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Finding the Fourth Proportional to 9,345.10, 12,896.07 and 5,096.19

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Solution

The fourth proportional to 9,345.10, 12,896.07 and 5,096.19 is: 7,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.10 : 12,896.07 = 5,096.19 : x
  2. Step 2: Convert to fraction form
    9,345.10/12,896.07 = 5,096.19/x
  3. Step 3: Cross multiply
    9,345.10x = 12,896.07 × 5,096.19
  4. Step 4: Simplify right side
    9,345.10x = 65,720,822.97
  5. Step 5: Solve for x
    x = 65,720,822.97/9,345.10
  6. Step 6: Final answer
    x = 7,032.65

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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.