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Finding the Fourth Proportional to 9,412.80, 14,120.50 and 3,174.60

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Solution

The fourth proportional to 9,412.80, 14,120.50 and 3,174.60 is: 4,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.80 : 14,120.50 = 3,174.60 : x
  2. Step 2: Convert to fraction form
    9,412.80/14,120.50 = 3,174.60/x
  3. Step 3: Cross multiply
    9,412.80x = 14,120.50 × 3,174.60
  4. Step 4: Simplify right side
    9,412.80x = 44,826,939.30
  5. Step 5: Solve for x
    x = 44,826,939.30/9,412.80
  6. Step 6: Final answer
    x = 4,762.34

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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.