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Finding the Fourth Proportional to 6,332.96, 8,738.08 and 3,644.51

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Solution

The fourth proportional to 6,332.96, 8,738.08 and 3,644.51 is: 5,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.96 : 8,738.08 = 3,644.51 : x
  2. Step 2: Convert to fraction form
    6,332.96/8,738.08 = 3,644.51/x
  3. Step 3: Cross multiply
    6,332.96x = 8,738.08 × 3,644.51
  4. Step 4: Simplify right side
    6,332.96x = 31,845,967.14
  5. Step 5: Solve for x
    x = 31,845,967.14/6,332.96
  6. Step 6: Final answer
    x = 5,028.61

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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.