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Finding the Fourth Proportional to 6,646.30, 9,172.41 and 3,662.67

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Solution

The fourth proportional to 6,646.30, 9,172.41 and 3,662.67 is: 5,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.30 : 9,172.41 = 3,662.67 : x
  2. Step 2: Convert to fraction form
    6,646.30/9,172.41 = 3,662.67/x
  3. Step 3: Cross multiply
    6,646.30x = 9,172.41 × 3,662.67
  4. Step 4: Simplify right side
    6,646.30x = 33,595,510.93
  5. Step 5: Solve for x
    x = 33,595,510.93/6,646.30
  6. Step 6: Final answer
    x = 5,054.77

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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.