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Finding the Fourth Proportional to 10,240, 14,120.76 and 9,644.80

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Solution

The fourth proportional to 10,240, 14,120.76 and 9,644.80 is: 13,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240 : 14,120.76 = 9,644.80 : x
  2. Step 2: Convert to fraction form
    10,240/14,120.76 = 9,644.80/x
  3. Step 3: Cross multiply
    10,240x = 14,120.76 × 9,644.80
  4. Step 4: Simplify right side
    10,240x = 136,191,906.05
  5. Step 5: Solve for x
    x = 136,191,906.05/10,240
  6. Step 6: Final answer
    x = 13,299.99

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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.