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Finding the Fourth Proportional to 9,632.43, 14,451.73 and 4,090.43

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Solution

The fourth proportional to 9,632.43, 14,451.73 and 4,090.43 is: 6,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.43 : 14,451.73 = 4,090.43 : x
  2. Step 2: Convert to fraction form
    9,632.43/14,451.73 = 4,090.43/x
  3. Step 3: Cross multiply
    9,632.43x = 14,451.73 × 4,090.43
  4. Step 4: Simplify right side
    9,632.43x = 59,113,697.23
  5. Step 5: Solve for x
    x = 59,113,697.23/9,632.43
  6. Step 6: Final answer
    x = 6,136.95

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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.