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Finding the Fourth Proportional to 9,685.64, 14,541.98 and 6,419.72

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Solution

The fourth proportional to 9,685.64, 14,541.98 and 6,419.72 is: 9,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.64 : 14,541.98 = 6,419.72 : x
  2. Step 2: Convert to fraction form
    9,685.64/14,541.98 = 6,419.72/x
  3. Step 3: Cross multiply
    9,685.64x = 14,541.98 × 6,419.72
  4. Step 4: Simplify right side
    9,685.64x = 93,355,439.85
  5. Step 5: Solve for x
    x = 93,355,439.85/9,685.64
  6. Step 6: Final answer
    x = 9,638.54

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