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Finding the Fourth Proportional to 6,385.48, 9,581.84 and 3,465.80

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Solution

The fourth proportional to 6,385.48, 9,581.84 and 3,465.80 is: 5,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.48 : 9,581.84 = 3,465.80 : x
  2. Step 2: Convert to fraction form
    6,385.48/9,581.84 = 3,465.80/x
  3. Step 3: Cross multiply
    6,385.48x = 9,581.84 × 3,465.80
  4. Step 4: Simplify right side
    6,385.48x = 33,208,741.07
  5. Step 5: Solve for x
    x = 33,208,741.07/6,385.48
  6. Step 6: Final answer
    x = 5,200.66

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