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Finding the Fourth Proportional to 6,813.37, 9,403.32 and 4,160.22

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Solution

The fourth proportional to 6,813.37, 9,403.32 and 4,160.22 is: 5,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.37 : 9,403.32 = 4,160.22 : x
  2. Step 2: Convert to fraction form
    6,813.37/9,403.32 = 4,160.22/x
  3. Step 3: Cross multiply
    6,813.37x = 9,403.32 × 4,160.22
  4. Step 4: Simplify right side
    6,813.37x = 39,119,879.93
  5. Step 5: Solve for x
    x = 39,119,879.93/6,813.37
  6. Step 6: Final answer
    x = 5,741.63

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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.