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Finding the Fourth Proportional to 6,145.56, 9,218.34 and 1,985.40

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Solution

The fourth proportional to 6,145.56, 9,218.34 and 1,985.40 is: 2,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.56 : 9,218.34 = 1,985.40 : x
  2. Step 2: Convert to fraction form
    6,145.56/9,218.34 = 1,985.40/x
  3. Step 3: Cross multiply
    6,145.56x = 9,218.34 × 1,985.40
  4. Step 4: Simplify right side
    6,145.56x = 18,302,092.24
  5. Step 5: Solve for x
    x = 18,302,092.24/6,145.56
  6. Step 6: Final answer
    x = 2,978.10

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