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Finding the Fourth Proportional to 9,420.33, 12,996.81 and 5,384.25

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Solution

The fourth proportional to 9,420.33, 12,996.81 and 5,384.25 is: 7,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.33 : 12,996.81 = 5,384.25 : x
  2. Step 2: Convert to fraction form
    9,420.33/12,996.81 = 5,384.25/x
  3. Step 3: Cross multiply
    9,420.33x = 12,996.81 × 5,384.25
  4. Step 4: Simplify right side
    9,420.33x = 69,978,074.24
  5. Step 5: Solve for x
    x = 69,978,074.24/9,420.33
  6. Step 6: Final answer
    x = 7,428.41

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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.