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Finding the Fourth Proportional to 6,684.56, 9,225.01 and 3,852.36

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Solution

The fourth proportional to 6,684.56, 9,225.01 and 3,852.36 is: 5,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.56 : 9,225.01 = 3,852.36 : x
  2. Step 2: Convert to fraction form
    6,684.56/9,225.01 = 3,852.36/x
  3. Step 3: Cross multiply
    6,684.56x = 9,225.01 × 3,852.36
  4. Step 4: Simplify right side
    6,684.56x = 35,538,059.52
  5. Step 5: Solve for x
    x = 35,538,059.52/6,684.56
  6. Step 6: Final answer
    x = 5,316.44

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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.