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Finding the Fourth Proportional to 9,666.37, 14,499.62 and 3,426.54

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Solution

The fourth proportional to 9,666.37, 14,499.62 and 3,426.54 is: 5,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.37 : 14,499.62 = 3,426.54 : x
  2. Step 2: Convert to fraction form
    9,666.37/14,499.62 = 3,426.54/x
  3. Step 3: Cross multiply
    9,666.37x = 14,499.62 × 3,426.54
  4. Step 4: Simplify right side
    9,666.37x = 49,683,527.91
  5. Step 5: Solve for x
    x = 49,683,527.91/9,666.37
  6. Step 6: Final answer
    x = 5,139.83

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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.