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Finding the Fourth Proportional to 6,548.47, 9,828.39 and 3,430.65

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Solution

The fourth proportional to 6,548.47, 9,828.39 and 3,430.65 is: 5,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.47 : 9,828.39 = 3,430.65 : x
  2. Step 2: Convert to fraction form
    6,548.47/9,828.39 = 3,430.65/x
  3. Step 3: Cross multiply
    6,548.47x = 9,828.39 × 3,430.65
  4. Step 4: Simplify right side
    6,548.47x = 33,717,796.58
  5. Step 5: Solve for x
    x = 33,717,796.58/6,548.47
  6. Step 6: Final answer
    x = 5,148.96

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