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Finding the Fourth Proportional to 6,256.02, 9,383.05 and 2,096.10

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Solution

The fourth proportional to 6,256.02, 9,383.05 and 2,096.10 is: 3,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.02 : 9,383.05 = 2,096.10 : x
  2. Step 2: Convert to fraction form
    6,256.02/9,383.05 = 2,096.10/x
  3. Step 3: Cross multiply
    6,256.02x = 9,383.05 × 2,096.10
  4. Step 4: Simplify right side
    6,256.02x = 19,667,811.11
  5. Step 5: Solve for x
    x = 19,667,811.11/6,256.02
  6. Step 6: Final answer
    x = 3,143.82

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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.