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Finding the Fourth Proportional to 9,549.54, 14,316.21 and 4,000.23

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Solution

The fourth proportional to 9,549.54, 14,316.21 and 4,000.23 is: 5,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.54 : 14,316.21 = 4,000.23 : x
  2. Step 2: Convert to fraction form
    9,549.54/14,316.21 = 4,000.23/x
  3. Step 3: Cross multiply
    9,549.54x = 14,316.21 × 4,000.23
  4. Step 4: Simplify right side
    9,549.54x = 57,268,132.73
  5. Step 5: Solve for x
    x = 57,268,132.73/9,549.54
  6. Step 6: Final answer
    x = 5,996.95

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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.