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Finding the Fourth Proportional to 9,971.73, 13,748.19 and 8,172.59

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Solution

The fourth proportional to 9,971.73, 13,748.19 and 8,172.59 is: 11,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.73 : 13,748.19 = 8,172.59 : x
  2. Step 2: Convert to fraction form
    9,971.73/13,748.19 = 8,172.59/x
  3. Step 3: Cross multiply
    9,971.73x = 13,748.19 × 8,172.59
  4. Step 4: Simplify right side
    9,971.73x = 112,358,251.37
  5. Step 5: Solve for x
    x = 112,358,251.37/9,971.73
  6. Step 6: Final answer
    x = 11,267.68

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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.