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Finding the Fourth Proportional to 6,529.63, 9,010.77 and 3,696.88

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Solution

The fourth proportional to 6,529.63, 9,010.77 and 3,696.88 is: 5,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.63 : 9,010.77 = 3,696.88 : x
  2. Step 2: Convert to fraction form
    6,529.63/9,010.77 = 3,696.88/x
  3. Step 3: Cross multiply
    6,529.63x = 9,010.77 × 3,696.88
  4. Step 4: Simplify right side
    6,529.63x = 33,311,735.40
  5. Step 5: Solve for x
    x = 33,311,735.40/6,529.63
  6. Step 6: Final answer
    x = 5,101.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.