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Finding the Fourth Proportional to 9,563.69, 13,194.21 and 7,051.76

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Solution

The fourth proportional to 9,563.69, 13,194.21 and 7,051.76 is: 9,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.69 : 13,194.21 = 7,051.76 : x
  2. Step 2: Convert to fraction form
    9,563.69/13,194.21 = 7,051.76/x
  3. Step 3: Cross multiply
    9,563.69x = 13,194.21 × 7,051.76
  4. Step 4: Simplify right side
    9,563.69x = 93,042,367.05
  5. Step 5: Solve for x
    x = 93,042,367.05/9,563.69
  6. Step 6: Final answer
    x = 9,728.71

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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.