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Finding the Fourth Proportional to 6,014.76, 9,023.97 and 2,893.88

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Solution

The fourth proportional to 6,014.76, 9,023.97 and 2,893.88 is: 4,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.76 : 9,023.97 = 2,893.88 : x
  2. Step 2: Convert to fraction form
    6,014.76/9,023.97 = 2,893.88/x
  3. Step 3: Cross multiply
    6,014.76x = 9,023.97 × 2,893.88
  4. Step 4: Simplify right side
    6,014.76x = 26,114,286.30
  5. Step 5: Solve for x
    x = 26,114,286.30/6,014.76
  6. Step 6: Final answer
    x = 4,341.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.