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Finding the Fourth Proportional to 6,504.36, 9,756.48 and 2,809.20

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Solution

The fourth proportional to 6,504.36, 9,756.48 and 2,809.20 is: 4,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.36 : 9,756.48 = 2,809.20 : x
  2. Step 2: Convert to fraction form
    6,504.36/9,756.48 = 2,809.20/x
  3. Step 3: Cross multiply
    6,504.36x = 9,756.48 × 2,809.20
  4. Step 4: Simplify right side
    6,504.36x = 27,407,903.62
  5. Step 5: Solve for x
    x = 27,407,903.62/6,504.36
  6. Step 6: Final answer
    x = 4,213.77

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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.