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Finding the Fourth Proportional to 9,710.40, 14,565.56 and 3,865.64

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Solution

The fourth proportional to 9,710.40, 14,565.56 and 3,865.64 is: 5,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.40 : 14,565.56 = 3,865.64 : x
  2. Step 2: Convert to fraction form
    9,710.40/14,565.56 = 3,865.64/x
  3. Step 3: Cross multiply
    9,710.40x = 14,565.56 × 3,865.64
  4. Step 4: Simplify right side
    9,710.40x = 56,305,211.36
  5. Step 5: Solve for x
    x = 56,305,211.36/9,710.40
  6. Step 6: Final answer
    x = 5,798.44

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