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Finding the Fourth Proportional to 9,485.15, 14,232.87 and 3,942.32

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Solution

The fourth proportional to 9,485.15, 14,232.87 and 3,942.32 is: 5,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.15 : 14,232.87 = 3,942.32 : x
  2. Step 2: Convert to fraction form
    9,485.15/14,232.87 = 3,942.32/x
  3. Step 3: Cross multiply
    9,485.15x = 14,232.87 × 3,942.32
  4. Step 4: Simplify right side
    9,485.15x = 56,110,563.64
  5. Step 5: Solve for x
    x = 56,110,563.64/9,485.15
  6. Step 6: Final answer
    x = 5,915.62

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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.