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Finding the Fourth Proportional to 9,656.64, 14,477.76 and 6,145.92

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Solution

The fourth proportional to 9,656.64, 14,477.76 and 6,145.92 is: 9,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.64 : 14,477.76 = 6,145.92 : x
  2. Step 2: Convert to fraction form
    9,656.64/14,477.76 = 6,145.92/x
  3. Step 3: Cross multiply
    9,656.64x = 14,477.76 × 6,145.92
  4. Step 4: Simplify right side
    9,656.64x = 88,979,154.74
  5. Step 5: Solve for x
    x = 88,979,154.74/9,656.64
  6. Step 6: Final answer
    x = 9,214.30

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