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Finding the Fourth Proportional to 6,632.90, 9,970.01 and 4,183.46

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Solution

The fourth proportional to 6,632.90, 9,970.01 and 4,183.46 is: 6,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.90 : 9,970.01 = 4,183.46 : x
  2. Step 2: Convert to fraction form
    6,632.90/9,970.01 = 4,183.46/x
  3. Step 3: Cross multiply
    6,632.90x = 9,970.01 × 4,183.46
  4. Step 4: Simplify right side
    6,632.90x = 41,709,138.03
  5. Step 5: Solve for x
    x = 41,709,138.03/6,632.90
  6. Step 6: Final answer
    x = 6,288.22

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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.