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Finding the Fourth Proportional to 6,516.88, 9,775.34 and 4,577.74

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Solution

The fourth proportional to 6,516.88, 9,775.34 and 4,577.74 is: 6,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.88 : 9,775.34 = 4,577.74 : x
  2. Step 2: Convert to fraction form
    6,516.88/9,775.34 = 4,577.74/x
  3. Step 3: Cross multiply
    6,516.88x = 9,775.34 × 4,577.74
  4. Step 4: Simplify right side
    6,516.88x = 44,748,964.93
  5. Step 5: Solve for x
    x = 44,748,964.93/6,516.88
  6. Step 6: Final answer
    x = 6,866.62

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