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Finding the Fourth Proportional to 6,438.54, 9,657.78 and 2,056.32

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Solution

The fourth proportional to 6,438.54, 9,657.78 and 2,056.32 is: 3,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.54 : 9,657.78 = 2,056.32 : x
  2. Step 2: Convert to fraction form
    6,438.54/9,657.78 = 2,056.32/x
  3. Step 3: Cross multiply
    6,438.54x = 9,657.78 × 2,056.32
  4. Step 4: Simplify right side
    6,438.54x = 19,859,486.17
  5. Step 5: Solve for x
    x = 19,859,486.17/6,438.54
  6. Step 6: Final answer
    x = 3,084.47

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