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Finding the Fourth Proportional to 6,840.64, 9,440.09 and 3,696.82

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Solution

The fourth proportional to 6,840.64, 9,440.09 and 3,696.82 is: 5,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.64 : 9,440.09 = 3,696.82 : x
  2. Step 2: Convert to fraction form
    6,840.64/9,440.09 = 3,696.82/x
  3. Step 3: Cross multiply
    6,840.64x = 9,440.09 × 3,696.82
  4. Step 4: Simplify right side
    6,840.64x = 34,898,313.51
  5. Step 5: Solve for x
    x = 34,898,313.51/6,840.64
  6. Step 6: Final answer
    x = 5,101.62

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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.