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Finding the Fourth Proportional to 6,314.16, 9,471.78 and 1,931.70

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Solution

The fourth proportional to 6,314.16, 9,471.78 and 1,931.70 is: 2,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.16 : 9,471.78 = 1,931.70 : x
  2. Step 2: Convert to fraction form
    6,314.16/9,471.78 = 1,931.70/x
  3. Step 3: Cross multiply
    6,314.16x = 9,471.78 × 1,931.70
  4. Step 4: Simplify right side
    6,314.16x = 18,296,637.43
  5. Step 5: Solve for x
    x = 18,296,637.43/6,314.16
  6. Step 6: Final answer
    x = 2,897.72

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