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Finding the Fourth Proportional to 9,971.26, 13,760.43 and 5,495.17

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Solution

The fourth proportional to 9,971.26, 13,760.43 and 5,495.17 is: 7,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.26 : 13,760.43 = 5,495.17 : x
  2. Step 2: Convert to fraction form
    9,971.26/13,760.43 = 5,495.17/x
  3. Step 3: Cross multiply
    9,971.26x = 13,760.43 × 5,495.17
  4. Step 4: Simplify right side
    9,971.26x = 75,615,899.99
  5. Step 5: Solve for x
    x = 75,615,899.99/9,971.26
  6. Step 6: Final answer
    x = 7,583.39

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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.