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Finding the Fourth Proportional to 6,277.20, 8,665.73 and 4,857.67

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Solution

The fourth proportional to 6,277.20, 8,665.73 and 4,857.67 is: 6,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.20 : 8,665.73 = 4,857.67 : x
  2. Step 2: Convert to fraction form
    6,277.20/8,665.73 = 4,857.67/x
  3. Step 3: Cross multiply
    6,277.20x = 8,665.73 × 4,857.67
  4. Step 4: Simplify right side
    6,277.20x = 42,095,256.65
  5. Step 5: Solve for x
    x = 42,095,256.65/6,277.20
  6. Step 6: Final answer
    x = 6,706.06

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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.