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Finding the Fourth Proportional to 6,470.85, 9,706.27 and 5,166.21

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Solution

The fourth proportional to 6,470.85, 9,706.27 and 5,166.21 is: 7,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.85 : 9,706.27 = 5,166.21 : x
  2. Step 2: Convert to fraction form
    6,470.85/9,706.27 = 5,166.21/x
  3. Step 3: Cross multiply
    6,470.85x = 9,706.27 × 5,166.21
  4. Step 4: Simplify right side
    6,470.85x = 50,144,629.14
  5. Step 5: Solve for x
    x = 50,144,629.14/6,470.85
  6. Step 6: Final answer
    x = 7,749.31

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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.