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Finding the Fourth Proportional to 12,977.67, 17,884.20 and 9,435.27

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Solution

The fourth proportional to 12,977.67, 17,884.20 and 9,435.27 is: 13,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.67 : 17,884.20 = 9,435.27 : x
  2. Step 2: Convert to fraction form
    12,977.67/17,884.20 = 9,435.27/x
  3. Step 3: Cross multiply
    12,977.67x = 17,884.20 × 9,435.27
  4. Step 4: Simplify right side
    12,977.67x = 168,742,255.73
  5. Step 5: Solve for x
    x = 168,742,255.73/12,977.67
  6. Step 6: Final answer
    x = 13,002.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.