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Finding the Fourth Proportional to 6,784.53, 9,362.19 and 3,800.34

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Solution

The fourth proportional to 6,784.53, 9,362.19 and 3,800.34 is: 5,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.53 : 9,362.19 = 3,800.34 : x
  2. Step 2: Convert to fraction form
    6,784.53/9,362.19 = 3,800.34/x
  3. Step 3: Cross multiply
    6,784.53x = 9,362.19 × 3,800.34
  4. Step 4: Simplify right side
    6,784.53x = 35,579,505.14
  5. Step 5: Solve for x
    x = 35,579,505.14/6,784.53
  6. Step 6: Final answer
    x = 5,244.21

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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.