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Finding the Fourth Proportional to 6,256.74, 9,384.69 and 2,096.34

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Solution

The fourth proportional to 6,256.74, 9,384.69 and 2,096.34 is: 3,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.74 : 9,384.69 = 2,096.34 : x
  2. Step 2: Convert to fraction form
    6,256.74/9,384.69 = 2,096.34/x
  3. Step 3: Cross multiply
    6,256.74x = 9,384.69 × 2,096.34
  4. Step 4: Simplify right side
    6,256.74x = 19,673,501.03
  5. Step 5: Solve for x
    x = 19,673,501.03/6,256.74
  6. Step 6: Final answer
    x = 3,144.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.