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Finding the Fourth Proportional to 9,428.17, 13,009.94 and 5,650.33

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Solution

The fourth proportional to 9,428.17, 13,009.94 and 5,650.33 is: 7,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.17 : 13,009.94 = 5,650.33 : x
  2. Step 2: Convert to fraction form
    9,428.17/13,009.94 = 5,650.33/x
  3. Step 3: Cross multiply
    9,428.17x = 13,009.94 × 5,650.33
  4. Step 4: Simplify right side
    9,428.17x = 73,510,426.03
  5. Step 5: Solve for x
    x = 73,510,426.03/9,428.17
  6. Step 6: Final answer
    x = 7,796.89

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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.