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Finding the Fourth Proportional to 9,420.75, 12,998.46 and 5,643.21

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Solution

The fourth proportional to 9,420.75, 12,998.46 and 5,643.21 is: 7,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.75 : 12,998.46 = 5,643.21 : x
  2. Step 2: Convert to fraction form
    9,420.75/12,998.46 = 5,643.21/x
  3. Step 3: Cross multiply
    9,420.75x = 12,998.46 × 5,643.21
  4. Step 4: Simplify right side
    9,420.75x = 73,353,039.46
  5. Step 5: Solve for x
    x = 73,353,039.46/9,420.75
  6. Step 6: Final answer
    x = 7,786.33

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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.