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Finding the Fourth Proportional to 9,249.78, 13,879.80 and 4,055.52

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Solution

The fourth proportional to 9,249.78, 13,879.80 and 4,055.52 is: 6,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.78 : 13,879.80 = 4,055.52 : x
  2. Step 2: Convert to fraction form
    9,249.78/13,879.80 = 4,055.52/x
  3. Step 3: Cross multiply
    9,249.78x = 13,879.80 × 4,055.52
  4. Step 4: Simplify right side
    9,249.78x = 56,289,806.50
  5. Step 5: Solve for x
    x = 56,289,806.50/9,249.78
  6. Step 6: Final answer
    x = 6,085.53

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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.