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Finding the Fourth Proportional to 6,172.86, 9,255.21 and 3,051.42

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Solution

The fourth proportional to 6,172.86, 9,255.21 and 3,051.42 is: 4,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.86 : 9,255.21 = 3,051.42 : x
  2. Step 2: Convert to fraction form
    6,172.86/9,255.21 = 3,051.42/x
  3. Step 3: Cross multiply
    6,172.86x = 9,255.21 × 3,051.42
  4. Step 4: Simplify right side
    6,172.86x = 28,241,532.90
  5. Step 5: Solve for x
    x = 28,241,532.90/6,172.86
  6. Step 6: Final answer
    x = 4,575.11

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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.