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Finding the Fourth Proportional to 9,971.44, 13,760 and 5,779.60

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Solution

The fourth proportional to 9,971.44, 13,760 and 5,779.60 is: 7,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.44 : 13,760 = 5,779.60 : x
  2. Step 2: Convert to fraction form
    9,971.44/13,760 = 5,779.60/x
  3. Step 3: Cross multiply
    9,971.44x = 13,760 × 5,779.60
  4. Step 4: Simplify right side
    9,971.44x = 79,527,296
  5. Step 5: Solve for x
    x = 79,527,296/9,971.44
  6. Step 6: Final answer
    x = 7,975.51

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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.