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Finding the Fourth Proportional to 6,546.08, 9,829.84 and 4,298.24

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Solution

The fourth proportional to 6,546.08, 9,829.84 and 4,298.24 is: 6,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.08 : 9,829.84 = 4,298.24 : x
  2. Step 2: Convert to fraction form
    6,546.08/9,829.84 = 4,298.24/x
  3. Step 3: Cross multiply
    6,546.08x = 9,829.84 × 4,298.24
  4. Step 4: Simplify right side
    6,546.08x = 42,251,011.48
  5. Step 5: Solve for x
    x = 42,251,011.48/6,546.08
  6. Step 6: Final answer
    x = 6,454.40

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