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Finding the Fourth Proportional to 9,971.97, 13,760.70 and 5,495.47

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Solution

The fourth proportional to 9,971.97, 13,760.70 and 5,495.47 is: 7,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.97 : 13,760.70 = 5,495.47 : x
  2. Step 2: Convert to fraction form
    9,971.97/13,760.70 = 5,495.47/x
  3. Step 3: Cross multiply
    9,971.97x = 13,760.70 × 5,495.47
  4. Step 4: Simplify right side
    9,971.97x = 75,621,586.24
  5. Step 5: Solve for x
    x = 75,621,586.24/9,971.97
  6. Step 6: Final answer
    x = 7,583.41

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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.