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Finding the Fourth Proportional to 6,587.40, 9,865.44 and 3,808.32

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Solution

The fourth proportional to 6,587.40, 9,865.44 and 3,808.32 is: 5,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.40 : 9,865.44 = 3,808.32 : x
  2. Step 2: Convert to fraction form
    6,587.40/9,865.44 = 3,808.32/x
  3. Step 3: Cross multiply
    6,587.40x = 9,865.44 × 3,808.32
  4. Step 4: Simplify right side
    6,587.40x = 37,570,752.46
  5. Step 5: Solve for x
    x = 37,570,752.46/6,587.40
  6. Step 6: Final answer
    x = 5,703.43

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