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Finding the Fourth Proportional to 9,200.88, 12,697.50 and 6,516.92

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Solution

The fourth proportional to 9,200.88, 12,697.50 and 6,516.92 is: 8,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.88 : 12,697.50 = 6,516.92 : x
  2. Step 2: Convert to fraction form
    9,200.88/12,697.50 = 6,516.92/x
  3. Step 3: Cross multiply
    9,200.88x = 12,697.50 × 6,516.92
  4. Step 4: Simplify right side
    9,200.88x = 82,748,528.21
  5. Step 5: Solve for x
    x = 82,748,528.21/9,200.88
  6. Step 6: Final answer
    x = 8,993.54

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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.