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Finding the Fourth Proportional to 9,505.92, 14,271.30 and 7,632.81

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Solution

The fourth proportional to 9,505.92, 14,271.30 and 7,632.81 is: 11,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.92 : 14,271.30 = 7,632.81 : x
  2. Step 2: Convert to fraction form
    9,505.92/14,271.30 = 7,632.81/x
  3. Step 3: Cross multiply
    9,505.92x = 14,271.30 × 7,632.81
  4. Step 4: Simplify right side
    9,505.92x = 108,930,121.35
  5. Step 5: Solve for x
    x = 108,930,121.35/9,505.92
  6. Step 6: Final answer
    x = 11,459.19

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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.