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Finding the Fourth Proportional to 9,139.10, 13,708.65 and 2,566.40

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Solution

The fourth proportional to 9,139.10, 13,708.65 and 2,566.40 is: 3,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.10 : 13,708.65 = 2,566.40 : x
  2. Step 2: Convert to fraction form
    9,139.10/13,708.65 = 2,566.40/x
  3. Step 3: Cross multiply
    9,139.10x = 13,708.65 × 2,566.40
  4. Step 4: Simplify right side
    9,139.10x = 35,181,879.36
  5. Step 5: Solve for x
    x = 35,181,879.36/9,139.10
  6. Step 6: Final answer
    x = 3,849.60

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