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Finding the Fourth Proportional to 6,895.99, 9,516.44 and 3,912.40

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Solution

The fourth proportional to 6,895.99, 9,516.44 and 3,912.40 is: 5,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.99 : 9,516.44 = 3,912.40 : x
  2. Step 2: Convert to fraction form
    6,895.99/9,516.44 = 3,912.40/x
  3. Step 3: Cross multiply
    6,895.99x = 9,516.44 × 3,912.40
  4. Step 4: Simplify right side
    6,895.99x = 37,232,119.86
  5. Step 5: Solve for x
    x = 37,232,119.86/6,895.99
  6. Step 6: Final answer
    x = 5,399.10

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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.