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Finding the Fourth Proportional to 9,505.73, 14,262.25 and 6,697.27

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Solution

The fourth proportional to 9,505.73, 14,262.25 and 6,697.27 is: 10,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.73 : 14,262.25 = 6,697.27 : x
  2. Step 2: Convert to fraction form
    9,505.73/14,262.25 = 6,697.27/x
  3. Step 3: Cross multiply
    9,505.73x = 14,262.25 × 6,697.27
  4. Step 4: Simplify right side
    9,505.73x = 95,518,139.06
  5. Step 5: Solve for x
    x = 95,518,139.06/9,505.73
  6. Step 6: Final answer
    x = 10,048.48

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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.