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Finding the Fourth Proportional to 9,200.96, 12,685.12 and 7,319.04

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Solution

The fourth proportional to 9,200.96, 12,685.12 and 7,319.04 is: 10,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.96 : 12,685.12 = 7,319.04 : x
  2. Step 2: Convert to fraction form
    9,200.96/12,685.12 = 7,319.04/x
  3. Step 3: Cross multiply
    9,200.96x = 12,685.12 × 7,319.04
  4. Step 4: Simplify right side
    9,200.96x = 92,842,900.68
  5. Step 5: Solve for x
    x = 92,842,900.68/9,200.96
  6. Step 6: Final answer
    x = 10,090.57

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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.