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Finding the Fourth Proportional to 9,739.60, 14,609.40 and 8,933.20

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Solution

The fourth proportional to 9,739.60, 14,609.40 and 8,933.20 is: 13,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.60 : 14,609.40 = 8,933.20 : x
  2. Step 2: Convert to fraction form
    9,739.60/14,609.40 = 8,933.20/x
  3. Step 3: Cross multiply
    9,739.60x = 14,609.40 × 8,933.20
  4. Step 4: Simplify right side
    9,739.60x = 130,508,692.08
  5. Step 5: Solve for x
    x = 130,508,692.08/9,739.60
  6. Step 6: Final answer
    x = 13,399.80

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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.