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Finding the Fourth Proportional to 6,662.46, 9,189.42 and 4,673.46

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Solution

The fourth proportional to 6,662.46, 9,189.42 and 4,673.46 is: 6,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.46 : 9,189.42 = 4,673.46 : x
  2. Step 2: Convert to fraction form
    6,662.46/9,189.42 = 4,673.46/x
  3. Step 3: Cross multiply
    6,662.46x = 9,189.42 × 4,673.46
  4. Step 4: Simplify right side
    6,662.46x = 42,946,386.79
  5. Step 5: Solve for x
    x = 42,946,386.79/6,662.46
  6. Step 6: Final answer
    x = 6,446.03

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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.