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Finding the Fourth Proportional to 9,543.63, 14,321.03 and 3,996.51

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Solution

The fourth proportional to 9,543.63, 14,321.03 and 3,996.51 is: 5,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.63 : 14,321.03 = 3,996.51 : x
  2. Step 2: Convert to fraction form
    9,543.63/14,321.03 = 3,996.51/x
  3. Step 3: Cross multiply
    9,543.63x = 14,321.03 × 3,996.51
  4. Step 4: Simplify right side
    9,543.63x = 57,234,065.92
  5. Step 5: Solve for x
    x = 57,234,065.92/9,543.63
  6. Step 6: Final answer
    x = 5,997.10

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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.