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Finding the Fourth Proportional to 6,384.85, 9,577.28 and 1,767.85

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Solution

The fourth proportional to 6,384.85, 9,577.28 and 1,767.85 is: 2,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.85 : 9,577.28 = 1,767.85 : x
  2. Step 2: Convert to fraction form
    6,384.85/9,577.28 = 1,767.85/x
  3. Step 3: Cross multiply
    6,384.85x = 9,577.28 × 1,767.85
  4. Step 4: Simplify right side
    6,384.85x = 16,931,204.21
  5. Step 5: Solve for x
    x = 16,931,204.21/6,384.85
  6. Step 6: Final answer
    x = 2,651.78

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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.