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Finding the Fourth Proportional to 9,980.57, 14,970.83 and 3,406.20

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Solution

The fourth proportional to 9,980.57, 14,970.83 and 3,406.20 is: 5,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.57 : 14,970.83 = 3,406.20 : x
  2. Step 2: Convert to fraction form
    9,980.57/14,970.83 = 3,406.20/x
  3. Step 3: Cross multiply
    9,980.57x = 14,970.83 × 3,406.20
  4. Step 4: Simplify right side
    9,980.57x = 50,993,624.12
  5. Step 5: Solve for x
    x = 50,993,624.12/9,980.57
  6. Step 6: Final answer
    x = 5,109.29

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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.