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Finding the Fourth Proportional to 6,106.34, 9,160.73 and 1,946.21

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Solution

The fourth proportional to 6,106.34, 9,160.73 and 1,946.21 is: 2,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.34 : 9,160.73 = 1,946.21 : x
  2. Step 2: Convert to fraction form
    6,106.34/9,160.73 = 1,946.21/x
  3. Step 3: Cross multiply
    6,106.34x = 9,160.73 × 1,946.21
  4. Step 4: Simplify right side
    6,106.34x = 17,828,648.80
  5. Step 5: Solve for x
    x = 17,828,648.80/6,106.34
  6. Step 6: Final answer
    x = 2,919.70

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