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Finding the Fourth Proportional to 9,405.96, 14,109.42 and 3,563.04

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Solution

The fourth proportional to 9,405.96, 14,109.42 and 3,563.04 is: 5,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.96 : 14,109.42 = 3,563.04 : x
  2. Step 2: Convert to fraction form
    9,405.96/14,109.42 = 3,563.04/x
  3. Step 3: Cross multiply
    9,405.96x = 14,109.42 × 3,563.04
  4. Step 4: Simplify right side
    9,405.96x = 50,272,427.84
  5. Step 5: Solve for x
    x = 50,272,427.84/9,405.96
  6. Step 6: Final answer
    x = 5,344.74

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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.