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Finding the Fourth Proportional to 6,552.84, 9,829.26 and 3,777.74

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Solution

The fourth proportional to 6,552.84, 9,829.26 and 3,777.74 is: 5,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.84 : 9,829.26 = 3,777.74 : x
  2. Step 2: Convert to fraction form
    6,552.84/9,829.26 = 3,777.74/x
  3. Step 3: Cross multiply
    6,552.84x = 9,829.26 × 3,777.74
  4. Step 4: Simplify right side
    6,552.84x = 37,132,388.67
  5. Step 5: Solve for x
    x = 37,132,388.67/6,552.84
  6. Step 6: Final answer
    x = 5,666.61

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