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Finding the Fourth Proportional to 7,026.63, 9,696.67 and 3,839.89

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Solution

The fourth proportional to 7,026.63, 9,696.67 and 3,839.89 is: 5,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.63 : 9,696.67 = 3,839.89 : x
  2. Step 2: Convert to fraction form
    7,026.63/9,696.67 = 3,839.89/x
  3. Step 3: Cross multiply
    7,026.63x = 9,696.67 × 3,839.89
  4. Step 4: Simplify right side
    7,026.63x = 37,234,097.68
  5. Step 5: Solve for x
    x = 37,234,097.68/7,026.63
  6. Step 6: Final answer
    x = 5,299.00

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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.