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Finding the Fourth Proportional to 9,166.78, 13,741.86 and 3,319.26

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Solution

The fourth proportional to 9,166.78, 13,741.86 and 3,319.26 is: 4,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.78 : 13,741.86 = 3,319.26 : x
  2. Step 2: Convert to fraction form
    9,166.78/13,741.86 = 3,319.26/x
  3. Step 3: Cross multiply
    9,166.78x = 13,741.86 × 3,319.26
  4. Step 4: Simplify right side
    9,166.78x = 45,612,806.22
  5. Step 5: Solve for x
    x = 45,612,806.22/9,166.78
  6. Step 6: Final answer
    x = 4,975.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.