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Finding the Fourth Proportional to 9,447.64, 14,168.10 and 3,606.04

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Solution

The fourth proportional to 9,447.64, 14,168.10 and 3,606.04 is: 5,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.64 : 14,168.10 = 3,606.04 : x
  2. Step 2: Convert to fraction form
    9,447.64/14,168.10 = 3,606.04/x
  3. Step 3: Cross multiply
    9,447.64x = 14,168.10 × 3,606.04
  4. Step 4: Simplify right side
    9,447.64x = 51,090,735.32
  5. Step 5: Solve for x
    x = 51,090,735.32/9,447.64
  6. Step 6: Final answer
    x = 5,407.78

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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.