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Finding the Fourth Proportional to 9,096.86, 12,553.14 and 5,117.81

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Solution

The fourth proportional to 9,096.86, 12,553.14 and 5,117.81 is: 7,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.86 : 12,553.14 = 5,117.81 : x
  2. Step 2: Convert to fraction form
    9,096.86/12,553.14 = 5,117.81/x
  3. Step 3: Cross multiply
    9,096.86x = 12,553.14 × 5,117.81
  4. Step 4: Simplify right side
    9,096.86x = 64,244,541.85
  5. Step 5: Solve for x
    x = 64,244,541.85/9,096.86
  6. Step 6: Final answer
    x = 7,062.27

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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.