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Finding the Fourth Proportional to 9,980.10, 14,964.21 and 3,406.14

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Solution

The fourth proportional to 9,980.10, 14,964.21 and 3,406.14 is: 5,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.10 : 14,964.21 = 3,406.14 : x
  2. Step 2: Convert to fraction form
    9,980.10/14,964.21 = 3,406.14/x
  3. Step 3: Cross multiply
    9,980.10x = 14,964.21 × 3,406.14
  4. Step 4: Simplify right side
    9,980.10x = 50,970,194.25
  5. Step 5: Solve for x
    x = 50,970,194.25/9,980.10
  6. Step 6: Final answer
    x = 5,107.18

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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.