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Finding the Fourth Proportional to 6,809.36, 9,396.60 and 3,784.34

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Solution

The fourth proportional to 6,809.36, 9,396.60 and 3,784.34 is: 5,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.36 : 9,396.60 = 3,784.34 : x
  2. Step 2: Convert to fraction form
    6,809.36/9,396.60 = 3,784.34/x
  3. Step 3: Cross multiply
    6,809.36x = 9,396.60 × 3,784.34
  4. Step 4: Simplify right side
    6,809.36x = 35,559,929.24
  5. Step 5: Solve for x
    x = 35,559,929.24/6,809.36
  6. Step 6: Final answer
    x = 5,222.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.