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Finding the Fourth Proportional to 6,384.36, 9,556.74 and 3,455.40

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Solution

The fourth proportional to 6,384.36, 9,556.74 and 3,455.40 is: 5,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.36 : 9,556.74 = 3,455.40 : x
  2. Step 2: Convert to fraction form
    6,384.36/9,556.74 = 3,455.40/x
  3. Step 3: Cross multiply
    6,384.36x = 9,556.74 × 3,455.40
  4. Step 4: Simplify right side
    6,384.36x = 33,022,359.40
  5. Step 5: Solve for x
    x = 33,022,359.40/6,384.36
  6. Step 6: Final answer
    x = 5,172.38

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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.