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Finding the Fourth Proportional to 9,971.63, 13,760.94 and 5,495.55

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Solution

The fourth proportional to 9,971.63, 13,760.94 and 5,495.55 is: 7,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.63 : 13,760.94 = 5,495.55 : x
  2. Step 2: Convert to fraction form
    9,971.63/13,760.94 = 5,495.55/x
  3. Step 3: Cross multiply
    9,971.63x = 13,760.94 × 5,495.55
  4. Step 4: Simplify right side
    9,971.63x = 75,623,902.82
  5. Step 5: Solve for x
    x = 75,623,902.82/9,971.63
  6. Step 6: Final answer
    x = 7,583.90

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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.