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Finding the Fourth Proportional to 5,209.22, 7,813.88 and 1,313.63

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Solution

The fourth proportional to 5,209.22, 7,813.88 and 1,313.63 is: 1,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.22 : 7,813.88 = 1,313.63 : x
  2. Step 2: Convert to fraction form
    5,209.22/7,813.88 = 1,313.63/x
  3. Step 3: Cross multiply
    5,209.22x = 7,813.88 × 1,313.63
  4. Step 4: Simplify right side
    5,209.22x = 10,264,543.16
  5. Step 5: Solve for x
    x = 10,264,543.16/5,209.22
  6. Step 6: Final answer
    x = 1,970.46

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