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Finding the Fourth Proportional to 9,825.41, 14,738.13 and 8,090.39

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Solution

The fourth proportional to 9,825.41, 14,738.13 and 8,090.39 is: 12,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.41 : 14,738.13 = 8,090.39 : x
  2. Step 2: Convert to fraction form
    9,825.41/14,738.13 = 8,090.39/x
  3. Step 3: Cross multiply
    9,825.41x = 14,738.13 × 8,090.39
  4. Step 4: Simplify right side
    9,825.41x = 119,237,219.57
  5. Step 5: Solve for x
    x = 119,237,219.57/9,825.41
  6. Step 6: Final answer
    x = 12,135.60

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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.