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Finding the Fourth Proportional to 10,142.92, 13,980.50 and 6,784.52

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Solution

The fourth proportional to 10,142.92, 13,980.50 and 6,784.52 is: 9,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.92 : 13,980.50 = 6,784.52 : x
  2. Step 2: Convert to fraction form
    10,142.92/13,980.50 = 6,784.52/x
  3. Step 3: Cross multiply
    10,142.92x = 13,980.50 × 6,784.52
  4. Step 4: Simplify right side
    10,142.92x = 94,851,008.33
  5. Step 5: Solve for x
    x = 94,851,008.33/10,142.92
  6. Step 6: Final answer
    x = 9,351.45

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