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Finding the Fourth Proportional to 6,109.60, 9,164.40 and 5,072.80

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Solution

The fourth proportional to 6,109.60, 9,164.40 and 5,072.80 is: 7,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.60 : 9,164.40 = 5,072.80 : x
  2. Step 2: Convert to fraction form
    6,109.60/9,164.40 = 5,072.80/x
  3. Step 3: Cross multiply
    6,109.60x = 9,164.40 × 5,072.80
  4. Step 4: Simplify right side
    6,109.60x = 46,489,168.32
  5. Step 5: Solve for x
    x = 46,489,168.32/6,109.60
  6. Step 6: Final answer
    x = 7,609.20

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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.