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Finding the Fourth Proportional to 9,486.41, 14,224.95 and 5,539.14

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Solution

The fourth proportional to 9,486.41, 14,224.95 and 5,539.14 is: 8,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.41 : 14,224.95 = 5,539.14 : x
  2. Step 2: Convert to fraction form
    9,486.41/14,224.95 = 5,539.14/x
  3. Step 3: Cross multiply
    9,486.41x = 14,224.95 × 5,539.14
  4. Step 4: Simplify right side
    9,486.41x = 78,793,989.54
  5. Step 5: Solve for x
    x = 78,793,989.54/9,486.41
  6. Step 6: Final answer
    x = 8,305.99

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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.