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Finding the Fourth Proportional to 7,171.61, 9,905.10 and 4,777.64

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Solution

The fourth proportional to 7,171.61, 9,905.10 and 4,777.64 is: 6,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.61 : 9,905.10 = 4,777.64 : x
  2. Step 2: Convert to fraction form
    7,171.61/9,905.10 = 4,777.64/x
  3. Step 3: Cross multiply
    7,171.61x = 9,905.10 × 4,777.64
  4. Step 4: Simplify right side
    7,171.61x = 47,323,001.96
  5. Step 5: Solve for x
    x = 47,323,001.96/7,171.61
  6. Step 6: Final answer
    x = 6,598.66

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