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Finding the Fourth Proportional to 9,969.64, 14,955.82 and 3,394.04

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Solution

The fourth proportional to 9,969.64, 14,955.82 and 3,394.04 is: 5,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.64 : 14,955.82 = 3,394.04 : x
  2. Step 2: Convert to fraction form
    9,969.64/14,955.82 = 3,394.04/x
  3. Step 3: Cross multiply
    9,969.64x = 14,955.82 × 3,394.04
  4. Step 4: Simplify right side
    9,969.64x = 50,760,651.31
  5. Step 5: Solve for x
    x = 50,760,651.31/9,969.64
  6. Step 6: Final answer
    x = 5,091.52

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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.