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Finding the Fourth Proportional to 6,884.89, 9,501.14 and 4,090.39

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Solution

The fourth proportional to 6,884.89, 9,501.14 and 4,090.39 is: 5,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.89 : 9,501.14 = 4,090.39 : x
  2. Step 2: Convert to fraction form
    6,884.89/9,501.14 = 4,090.39/x
  3. Step 3: Cross multiply
    6,884.89x = 9,501.14 × 4,090.39
  4. Step 4: Simplify right side
    6,884.89x = 38,863,323.84
  5. Step 5: Solve for x
    x = 38,863,323.84/6,884.89
  6. Step 6: Final answer
    x = 5,644.73

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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.