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Finding the Fourth Proportional to 9,356.86, 12,912.54 and 5,107.96

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Solution

The fourth proportional to 9,356.86, 12,912.54 and 5,107.96 is: 7,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.86 : 12,912.54 = 5,107.96 : x
  2. Step 2: Convert to fraction form
    9,356.86/12,912.54 = 5,107.96/x
  3. Step 3: Cross multiply
    9,356.86x = 12,912.54 × 5,107.96
  4. Step 4: Simplify right side
    9,356.86x = 65,956,737.82
  5. Step 5: Solve for x
    x = 65,956,737.82/9,356.86
  6. Step 6: Final answer
    x = 7,049.02

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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.