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Finding the Fourth Proportional to 6,096.31, 8,405.17 and 4,102.63

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Solution

The fourth proportional to 6,096.31, 8,405.17 and 4,102.63 is: 5,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.31 : 8,405.17 = 4,102.63 : x
  2. Step 2: Convert to fraction form
    6,096.31/8,405.17 = 4,102.63/x
  3. Step 3: Cross multiply
    6,096.31x = 8,405.17 × 4,102.63
  4. Step 4: Simplify right side
    6,096.31x = 34,483,302.60
  5. Step 5: Solve for x
    x = 34,483,302.60/6,096.31
  6. Step 6: Final answer
    x = 5,656.42

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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.