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Finding the Fourth Proportional to 9,662.89, 13,335.11 and 5,629.45

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Solution

The fourth proportional to 9,662.89, 13,335.11 and 5,629.45 is: 7,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.89 : 13,335.11 = 5,629.45 : x
  2. Step 2: Convert to fraction form
    9,662.89/13,335.11 = 5,629.45/x
  3. Step 3: Cross multiply
    9,662.89x = 13,335.11 × 5,629.45
  4. Step 4: Simplify right side
    9,662.89x = 75,069,282.39
  5. Step 5: Solve for x
    x = 75,069,282.39/9,662.89
  6. Step 6: Final answer
    x = 7,768.83

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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.