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Finding the Fourth Proportional to 9,688.21, 14,514.77 and 8,138.18

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Solution

The fourth proportional to 9,688.21, 14,514.77 and 8,138.18 is: 12,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.21 : 14,514.77 = 8,138.18 : x
  2. Step 2: Convert to fraction form
    9,688.21/14,514.77 = 8,138.18/x
  3. Step 3: Cross multiply
    9,688.21x = 14,514.77 × 8,138.18
  4. Step 4: Simplify right side
    9,688.21x = 118,123,810.92
  5. Step 5: Solve for x
    x = 118,123,810.92/9,688.21
  6. Step 6: Final answer
    x = 12,192.53

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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.