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Finding the Fourth Proportional to 9,827.70, 14,742 and 3,254.46

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Solution

The fourth proportional to 9,827.70, 14,742 and 3,254.46 is: 4,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.70 : 14,742 = 3,254.46 : x
  2. Step 2: Convert to fraction form
    9,827.70/14,742 = 3,254.46/x
  3. Step 3: Cross multiply
    9,827.70x = 14,742 × 3,254.46
  4. Step 4: Simplify right side
    9,827.70x = 47,977,249.32
  5. Step 5: Solve for x
    x = 47,977,249.32/9,827.70
  6. Step 6: Final answer
    x = 4,881.84

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