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Finding the Fourth Proportional to 9,212.96, 12,720.48 and 5,680.96

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Solution

The fourth proportional to 9,212.96, 12,720.48 and 5,680.96 is: 7,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.96 : 12,720.48 = 5,680.96 : x
  2. Step 2: Convert to fraction form
    9,212.96/12,720.48 = 5,680.96/x
  3. Step 3: Cross multiply
    9,212.96x = 12,720.48 × 5,680.96
  4. Step 4: Simplify right side
    9,212.96x = 72,264,538.06
  5. Step 5: Solve for x
    x = 72,264,538.06/9,212.96
  6. Step 6: Final answer
    x = 7,843.79

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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.