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Finding the Fourth Proportional to 6,384.79, 9,578.35 and 2,874.88

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Solution

The fourth proportional to 6,384.79, 9,578.35 and 2,874.88 is: 4,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.79 : 9,578.35 = 2,874.88 : x
  2. Step 2: Convert to fraction form
    6,384.79/9,578.35 = 2,874.88/x
  3. Step 3: Cross multiply
    6,384.79x = 9,578.35 × 2,874.88
  4. Step 4: Simplify right side
    6,384.79x = 27,536,606.85
  5. Step 5: Solve for x
    x = 27,536,606.85/6,384.79
  6. Step 6: Final answer
    x = 4,312.84

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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.