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Finding the Fourth Proportional to 6,096.79, 9,142.30 and 2,808.91

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Solution

The fourth proportional to 6,096.79, 9,142.30 and 2,808.91 is: 4,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.79 : 9,142.30 = 2,808.91 : x
  2. Step 2: Convert to fraction form
    6,096.79/9,142.30 = 2,808.91/x
  3. Step 3: Cross multiply
    6,096.79x = 9,142.30 × 2,808.91
  4. Step 4: Simplify right side
    6,096.79x = 25,679,897.89
  5. Step 5: Solve for x
    x = 25,679,897.89/6,096.79
  6. Step 6: Final answer
    x = 4,212.04

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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.