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Finding the Fourth Proportional to 6,384.80, 9,577.51 and 2,002.30

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Solution

The fourth proportional to 6,384.80, 9,577.51 and 2,002.30 is: 3,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.80 : 9,577.51 = 2,002.30 : x
  2. Step 2: Convert to fraction form
    6,384.80/9,577.51 = 2,002.30/x
  3. Step 3: Cross multiply
    6,384.80x = 9,577.51 × 2,002.30
  4. Step 4: Simplify right side
    6,384.80x = 19,177,048.27
  5. Step 5: Solve for x
    x = 19,177,048.27/6,384.80
  6. Step 6: Final answer
    x = 3,003.55

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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.