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Finding the Fourth Proportional to 9,071.37, 12,518.49 and 5,093.76

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Solution

The fourth proportional to 9,071.37, 12,518.49 and 5,093.76 is: 7,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.37 : 12,518.49 = 5,093.76 : x
  2. Step 2: Convert to fraction form
    9,071.37/12,518.49 = 5,093.76/x
  3. Step 3: Cross multiply
    9,071.37x = 12,518.49 × 5,093.76
  4. Step 4: Simplify right side
    9,071.37x = 63,766,183.62
  5. Step 5: Solve for x
    x = 63,766,183.62/9,071.37
  6. Step 6: Final answer
    x = 7,029.39

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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.