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Finding the Fourth Proportional to 9,687.21, 14,513.28 and 8,137.18

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Solution

The fourth proportional to 9,687.21, 14,513.28 and 8,137.18 is: 12,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.21 : 14,513.28 = 8,137.18 : x
  2. Step 2: Convert to fraction form
    9,687.21/14,513.28 = 8,137.18/x
  3. Step 3: Cross multiply
    9,687.21x = 14,513.28 × 8,137.18
  4. Step 4: Simplify right side
    9,687.21x = 118,097,077.74
  5. Step 5: Solve for x
    x = 118,097,077.74/9,687.21
  6. Step 6: Final answer
    x = 12,191.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.