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Finding the Fourth Proportional to 6,072.86, 8,384.41 and 4,956.46

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Solution

The fourth proportional to 6,072.86, 8,384.41 and 4,956.46 is: 6,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.86 : 8,384.41 = 4,956.46 : x
  2. Step 2: Convert to fraction form
    6,072.86/8,384.41 = 4,956.46/x
  3. Step 3: Cross multiply
    6,072.86x = 8,384.41 × 4,956.46
  4. Step 4: Simplify right side
    6,072.86x = 41,556,984.22
  5. Step 5: Solve for x
    x = 41,556,984.22/6,072.86
  6. Step 6: Final answer
    x = 6,843.07

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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.