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Finding the Fourth Proportional to 9,644, 13,308.80 and 5,228

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Solution

The fourth proportional to 9,644, 13,308.80 and 5,228 is: 7,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644 : 13,308.80 = 5,228 : x
  2. Step 2: Convert to fraction form
    9,644/13,308.80 = 5,228/x
  3. Step 3: Cross multiply
    9,644x = 13,308.80 × 5,228
  4. Step 4: Simplify right side
    9,644x = 69,578,406.40
  5. Step 5: Solve for x
    x = 69,578,406.40/9,644
  6. Step 6: Final answer
    x = 7,214.68

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