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Finding the Fourth Proportional to 7,131.39, 9,837.36 and 4,146.89

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Solution

The fourth proportional to 7,131.39, 9,837.36 and 4,146.89 is: 5,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.39 : 9,837.36 = 4,146.89 : x
  2. Step 2: Convert to fraction form
    7,131.39/9,837.36 = 4,146.89/x
  3. Step 3: Cross multiply
    7,131.39x = 9,837.36 × 4,146.89
  4. Step 4: Simplify right side
    7,131.39x = 40,794,449.81
  5. Step 5: Solve for x
    x = 40,794,449.81/7,131.39
  6. Step 6: Final answer
    x = 5,720.41

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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.