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Finding the Fourth Proportional to 9,638.23, 14,458.07 and 4,090.95

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Solution

The fourth proportional to 9,638.23, 14,458.07 and 4,090.95 is: 6,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.23 : 14,458.07 = 4,090.95 : x
  2. Step 2: Convert to fraction form
    9,638.23/14,458.07 = 4,090.95/x
  3. Step 3: Cross multiply
    9,638.23x = 14,458.07 × 4,090.95
  4. Step 4: Simplify right side
    9,638.23x = 59,147,241.47
  5. Step 5: Solve for x
    x = 59,147,241.47/9,638.23
  6. Step 6: Final answer
    x = 6,136.73

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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.