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Finding the Fourth Proportional to 6,114.01, 9,172.56 and 2,829.46

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Solution

The fourth proportional to 6,114.01, 9,172.56 and 2,829.46 is: 4,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.01 : 9,172.56 = 2,829.46 : x
  2. Step 2: Convert to fraction form
    6,114.01/9,172.56 = 2,829.46/x
  3. Step 3: Cross multiply
    6,114.01x = 9,172.56 × 2,829.46
  4. Step 4: Simplify right side
    6,114.01x = 25,953,391.62
  5. Step 5: Solve for x
    x = 25,953,391.62/6,114.01
  6. Step 6: Final answer
    x = 4,244.90

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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.