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Finding the Fourth Proportional to 9,172.64, 13,765.08 and 7,938.24

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Solution

The fourth proportional to 9,172.64, 13,765.08 and 7,938.24 is: 11,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.64 : 13,765.08 = 7,938.24 : x
  2. Step 2: Convert to fraction form
    9,172.64/13,765.08 = 7,938.24/x
  3. Step 3: Cross multiply
    9,172.64x = 13,765.08 × 7,938.24
  4. Step 4: Simplify right side
    9,172.64x = 109,270,508.66
  5. Step 5: Solve for x
    x = 109,270,508.66/9,172.64
  6. Step 6: Final answer
    x = 11,912.66

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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.