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Finding the Fourth Proportional to 6,301.23, 8,696.10 and 3,648.63

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Solution

The fourth proportional to 6,301.23, 8,696.10 and 3,648.63 is: 5,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.23 : 8,696.10 = 3,648.63 : x
  2. Step 2: Convert to fraction form
    6,301.23/8,696.10 = 3,648.63/x
  3. Step 3: Cross multiply
    6,301.23x = 8,696.10 × 3,648.63
  4. Step 4: Simplify right side
    6,301.23x = 31,728,851.34
  5. Step 5: Solve for x
    x = 31,728,851.34/6,301.23
  6. Step 6: Final answer
    x = 5,035.34

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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.