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Finding the Fourth Proportional to 12,276.34, 16,941.46 and 6,971.27

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Solution

The fourth proportional to 12,276.34, 16,941.46 and 6,971.27 is: 9,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.34 : 16,941.46 = 6,971.27 : x
  2. Step 2: Convert to fraction form
    12,276.34/16,941.46 = 6,971.27/x
  3. Step 3: Cross multiply
    12,276.34x = 16,941.46 × 6,971.27
  4. Step 4: Simplify right side
    12,276.34x = 118,103,491.85
  5. Step 5: Solve for x
    x = 118,103,491.85/12,276.34
  6. Step 6: Final answer
    x = 9,620.42

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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.