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Finding the Fourth Proportional to 9,971.98, 13,761.26 and 5,495.92

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Solution

The fourth proportional to 9,971.98, 13,761.26 and 5,495.92 is: 7,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.98 : 13,761.26 = 5,495.92 : x
  2. Step 2: Convert to fraction form
    9,971.98/13,761.26 = 5,495.92/x
  3. Step 3: Cross multiply
    9,971.98x = 13,761.26 × 5,495.92
  4. Step 4: Simplify right side
    9,971.98x = 75,630,784.06
  5. Step 5: Solve for x
    x = 75,630,784.06/9,971.98
  6. Step 6: Final answer
    x = 7,584.33

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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.