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Finding the Fourth Proportional to 9,940.32, 14,896.50 and 7,851.12

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Solution

The fourth proportional to 9,940.32, 14,896.50 and 7,851.12 is: 11,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.32 : 14,896.50 = 7,851.12 : x
  2. Step 2: Convert to fraction form
    9,940.32/14,896.50 = 7,851.12/x
  3. Step 3: Cross multiply
    9,940.32x = 14,896.50 × 7,851.12
  4. Step 4: Simplify right side
    9,940.32x = 116,954,209.08
  5. Step 5: Solve for x
    x = 116,954,209.08/9,940.32
  6. Step 6: Final answer
    x = 11,765.64

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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.