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Finding the Fourth Proportional to 9,410.31, 14,111.87 and 3,168.64

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Solution

The fourth proportional to 9,410.31, 14,111.87 and 3,168.64 is: 4,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.31 : 14,111.87 = 3,168.64 : x
  2. Step 2: Convert to fraction form
    9,410.31/14,111.87 = 3,168.64/x
  3. Step 3: Cross multiply
    9,410.31x = 14,111.87 × 3,168.64
  4. Step 4: Simplify right side
    9,410.31x = 44,715,435.76
  5. Step 5: Solve for x
    x = 44,715,435.76/9,410.31
  6. Step 6: Final answer
    x = 4,751.75

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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.