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Finding the Fourth Proportional to 9,728.57, 14,570.96 and 6,819.86

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Solution

The fourth proportional to 9,728.57, 14,570.96 and 6,819.86 is: 10,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.57 : 14,570.96 = 6,819.86 : x
  2. Step 2: Convert to fraction form
    9,728.57/14,570.96 = 6,819.86/x
  3. Step 3: Cross multiply
    9,728.57x = 14,570.96 × 6,819.86
  4. Step 4: Simplify right side
    9,728.57x = 99,371,800.31
  5. Step 5: Solve for x
    x = 99,371,800.31/9,728.57
  6. Step 6: Final answer
    x = 10,214.44

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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.