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Finding the Fourth Proportional to 9,575.92, 14,364.87 and 2,650.42

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Solution

The fourth proportional to 9,575.92, 14,364.87 and 2,650.42 is: 3,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.92 : 14,364.87 = 2,650.42 : x
  2. Step 2: Convert to fraction form
    9,575.92/14,364.87 = 2,650.42/x
  3. Step 3: Cross multiply
    9,575.92x = 14,364.87 × 2,650.42
  4. Step 4: Simplify right side
    9,575.92x = 38,072,938.75
  5. Step 5: Solve for x
    x = 38,072,938.75/9,575.92
  6. Step 6: Final answer
    x = 3,975.90

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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.