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Finding the Fourth Proportional to 9,312, 13,969.92 and 3,840

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Solution

The fourth proportional to 9,312, 13,969.92 and 3,840 is: 5,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312 : 13,969.92 = 3,840 : x
  2. Step 2: Convert to fraction form
    9,312/13,969.92 = 3,840/x
  3. Step 3: Cross multiply
    9,312x = 13,969.92 × 3,840
  4. Step 4: Simplify right side
    9,312x = 53,644,492.80
  5. Step 5: Solve for x
    x = 53,644,492.80/9,312
  6. Step 6: Final answer
    x = 5,760.79

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