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Finding the Fourth Proportional to 6,460.02, 9,688.74 and 1,778.82

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Solution

The fourth proportional to 6,460.02, 9,688.74 and 1,778.82 is: 2,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.02 : 9,688.74 = 1,778.82 : x
  2. Step 2: Convert to fraction form
    6,460.02/9,688.74 = 1,778.82/x
  3. Step 3: Cross multiply
    6,460.02x = 9,688.74 × 1,778.82
  4. Step 4: Simplify right side
    6,460.02x = 17,234,524.49
  5. Step 5: Solve for x
    x = 17,234,524.49/6,460.02
  6. Step 6: Final answer
    x = 2,667.87

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