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Finding the Fourth Proportional to 9,072.72, 13,597.56 and 4,971.60

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Solution

The fourth proportional to 9,072.72, 13,597.56 and 4,971.60 is: 7,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.72 : 13,597.56 = 4,971.60 : x
  2. Step 2: Convert to fraction form
    9,072.72/13,597.56 = 4,971.60/x
  3. Step 3: Cross multiply
    9,072.72x = 13,597.56 × 4,971.60
  4. Step 4: Simplify right side
    9,072.72x = 67,601,629.30
  5. Step 5: Solve for x
    x = 67,601,629.30/9,072.72
  6. Step 6: Final answer
    x = 7,451.09

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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.