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Finding the Fourth Proportional to 9,975.90, 13,757.67 and 7,986.54

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Solution

The fourth proportional to 9,975.90, 13,757.67 and 7,986.54 is: 11,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.90 : 13,757.67 = 7,986.54 : x
  2. Step 2: Convert to fraction form
    9,975.90/13,757.67 = 7,986.54/x
  3. Step 3: Cross multiply
    9,975.90x = 13,757.67 × 7,986.54
  4. Step 4: Simplify right side
    9,975.90x = 109,876,181.76
  5. Step 5: Solve for x
    x = 109,876,181.76/9,975.90
  6. Step 6: Final answer
    x = 11,014.16

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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.