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Finding the Fourth Proportional to 6,096.10, 9,133.35 and 5,167.30

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Solution

The fourth proportional to 6,096.10, 9,133.35 and 5,167.30 is: 7,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.10 : 9,133.35 = 5,167.30 : x
  2. Step 2: Convert to fraction form
    6,096.10/9,133.35 = 5,167.30/x
  3. Step 3: Cross multiply
    6,096.10x = 9,133.35 × 5,167.30
  4. Step 4: Simplify right side
    6,096.10x = 47,194,759.46
  5. Step 5: Solve for x
    x = 47,194,759.46/6,096.10
  6. Step 6: Final answer
    x = 7,741.80

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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.