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Finding the Fourth Proportional to 6,346.02, 9,498.32 and 5,739.78

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Solution

The fourth proportional to 6,346.02, 9,498.32 and 5,739.78 is: 8,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.02 : 9,498.32 = 5,739.78 : x
  2. Step 2: Convert to fraction form
    6,346.02/9,498.32 = 5,739.78/x
  3. Step 3: Cross multiply
    6,346.02x = 9,498.32 × 5,739.78
  4. Step 4: Simplify right side
    6,346.02x = 54,518,267.17
  5. Step 5: Solve for x
    x = 54,518,267.17/6,346.02
  6. Step 6: Final answer
    x = 8,590.94

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