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Finding the Fourth Proportional to 6,180.86, 9,274.34 and 2,893.39

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Solution

The fourth proportional to 6,180.86, 9,274.34 and 2,893.39 is: 4,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.86 : 9,274.34 = 2,893.39 : x
  2. Step 2: Convert to fraction form
    6,180.86/9,274.34 = 2,893.39/x
  3. Step 3: Cross multiply
    6,180.86x = 9,274.34 × 2,893.39
  4. Step 4: Simplify right side
    6,180.86x = 26,834,266.66
  5. Step 5: Solve for x
    x = 26,834,266.66/6,180.86
  6. Step 6: Final answer
    x = 4,341.51

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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.