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Finding the Fourth Proportional to 8,943.40, 12,352.26 and 8,425

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Solution

The fourth proportional to 8,943.40, 12,352.26 and 8,425 is: 11,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.40 : 12,352.26 = 8,425 : x
  2. Step 2: Convert to fraction form
    8,943.40/12,352.26 = 8,425/x
  3. Step 3: Cross multiply
    8,943.40x = 12,352.26 × 8,425
  4. Step 4: Simplify right side
    8,943.40x = 104,067,790.50
  5. Step 5: Solve for x
    x = 104,067,790.50/8,943.40
  6. Step 6: Final answer
    x = 11,636.27

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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.