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Finding the Fourth Proportional to 6,847.01, 9,448.86 and 3,703.19

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Solution

The fourth proportional to 6,847.01, 9,448.86 and 3,703.19 is: 5,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.01 : 9,448.86 = 3,703.19 : x
  2. Step 2: Convert to fraction form
    6,847.01/9,448.86 = 3,703.19/x
  3. Step 3: Cross multiply
    6,847.01x = 9,448.86 × 3,703.19
  4. Step 4: Simplify right side
    6,847.01x = 34,990,876.62
  5. Step 5: Solve for x
    x = 34,990,876.62/6,847.01
  6. Step 6: Final answer
    x = 5,110.39

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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.