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Finding the Fourth Proportional to 9,200.96, 12,693.08 and 5,421.55

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Solution

The fourth proportional to 9,200.96, 12,693.08 and 5,421.55 is: 7,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.96 : 12,693.08 = 5,421.55 : x
  2. Step 2: Convert to fraction form
    9,200.96/12,693.08 = 5,421.55/x
  3. Step 3: Cross multiply
    9,200.96x = 12,693.08 × 5,421.55
  4. Step 4: Simplify right side
    9,200.96x = 68,816,149.70
  5. Step 5: Solve for x
    x = 68,816,149.70/9,200.96
  6. Step 6: Final answer
    x = 7,479.23

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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.