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Finding the Fourth Proportional to 10,409.14, 15,606.40 and 3,834.48

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Solution

The fourth proportional to 10,409.14, 15,606.40 and 3,834.48 is: 5,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.14 : 15,606.40 = 3,834.48 : x
  2. Step 2: Convert to fraction form
    10,409.14/15,606.40 = 3,834.48/x
  3. Step 3: Cross multiply
    10,409.14x = 15,606.40 × 3,834.48
  4. Step 4: Simplify right side
    10,409.14x = 59,842,428.67
  5. Step 5: Solve for x
    x = 59,842,428.67/10,409.14
  6. Step 6: Final answer
    x = 5,749.03

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