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Finding the Fourth Proportional to 9,650.56, 14,470.98 and 4,712.80

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Solution

The fourth proportional to 9,650.56, 14,470.98 and 4,712.80 is: 7,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.56 : 14,470.98 = 4,712.80 : x
  2. Step 2: Convert to fraction form
    9,650.56/14,470.98 = 4,712.80/x
  3. Step 3: Cross multiply
    9,650.56x = 14,470.98 × 4,712.80
  4. Step 4: Simplify right side
    9,650.56x = 68,198,834.54
  5. Step 5: Solve for x
    x = 68,198,834.54/9,650.56
  6. Step 6: Final answer
    x = 7,066.83

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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.