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Finding the Fourth Proportional to 9,971.12, 13,758.72 and 6,245.12

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Solution

The fourth proportional to 9,971.12, 13,758.72 and 6,245.12 is: 8,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.12 : 13,758.72 = 6,245.12 : x
  2. Step 2: Convert to fraction form
    9,971.12/13,758.72 = 6,245.12/x
  3. Step 3: Cross multiply
    9,971.12x = 13,758.72 × 6,245.12
  4. Step 4: Simplify right side
    9,971.12x = 85,924,857.45
  5. Step 5: Solve for x
    x = 85,924,857.45/9,971.12
  6. Step 6: Final answer
    x = 8,617.37

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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.