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Finding the Fourth Proportional to 9,632.28, 14,379.21 and 9,206.76

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Solution

The fourth proportional to 9,632.28, 14,379.21 and 9,206.76 is: 13,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.28 : 14,379.21 = 9,206.76 : x
  2. Step 2: Convert to fraction form
    9,632.28/14,379.21 = 9,206.76/x
  3. Step 3: Cross multiply
    9,632.28x = 14,379.21 × 9,206.76
  4. Step 4: Simplify right side
    9,632.28x = 132,385,935.46
  5. Step 5: Solve for x
    x = 132,385,935.46/9,632.28
  6. Step 6: Final answer
    x = 13,743.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.