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Finding the Fourth Proportional to 7,028.63, 9,699.43 and 3,841.89

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Solution

The fourth proportional to 7,028.63, 9,699.43 and 3,841.89 is: 5,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.63 : 9,699.43 = 3,841.89 : x
  2. Step 2: Convert to fraction form
    7,028.63/9,699.43 = 3,841.89/x
  3. Step 3: Cross multiply
    7,028.63x = 9,699.43 × 3,841.89
  4. Step 4: Simplify right side
    7,028.63x = 37,264,143.12
  5. Step 5: Solve for x
    x = 37,264,143.12/7,028.63
  6. Step 6: Final answer
    x = 5,301.76

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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.