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Finding the Fourth Proportional to 6,304.02, 9,461.87 and 3,186.23

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Solution

The fourth proportional to 6,304.02, 9,461.87 and 3,186.23 is: 4,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.02 : 9,461.87 = 3,186.23 : x
  2. Step 2: Convert to fraction form
    6,304.02/9,461.87 = 3,186.23/x
  3. Step 3: Cross multiply
    6,304.02x = 9,461.87 × 3,186.23
  4. Step 4: Simplify right side
    6,304.02x = 30,147,630.81
  5. Step 5: Solve for x
    x = 30,147,630.81/6,304.02
  6. Step 6: Final answer
    x = 4,782.29

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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.