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Finding the Fourth Proportional to 9,093.31, 12,548.85 and 5,114.39

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Solution

The fourth proportional to 9,093.31, 12,548.85 and 5,114.39 is: 7,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.31 : 12,548.85 = 5,114.39 : x
  2. Step 2: Convert to fraction form
    9,093.31/12,548.85 = 5,114.39/x
  3. Step 3: Cross multiply
    9,093.31x = 12,548.85 × 5,114.39
  4. Step 4: Simplify right side
    9,093.31x = 64,179,712.95
  5. Step 5: Solve for x
    x = 64,179,712.95/9,093.31
  6. Step 6: Final answer
    x = 7,057.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.