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Finding the Fourth Proportional to 6,896.02, 9,516.76 and 4,242.94

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Solution

The fourth proportional to 6,896.02, 9,516.76 and 4,242.94 is: 5,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.02 : 9,516.76 = 4,242.94 : x
  2. Step 2: Convert to fraction form
    6,896.02/9,516.76 = 4,242.94/x
  3. Step 3: Cross multiply
    6,896.02x = 9,516.76 × 4,242.94
  4. Step 4: Simplify right side
    6,896.02x = 40,379,041.67
  5. Step 5: Solve for x
    x = 40,379,041.67/6,896.02
  6. Step 6: Final answer
    x = 5,855.41

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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.