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Finding the Fourth Proportional to 9,969.16, 14,954.84 and 3,394.12

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Solution

The fourth proportional to 9,969.16, 14,954.84 and 3,394.12 is: 5,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.16 : 14,954.84 = 3,394.12 : x
  2. Step 2: Convert to fraction form
    9,969.16/14,954.84 = 3,394.12/x
  3. Step 3: Cross multiply
    9,969.16x = 14,954.84 × 3,394.12
  4. Step 4: Simplify right side
    9,969.16x = 50,758,521.54
  5. Step 5: Solve for x
    x = 50,758,521.54/9,969.16
  6. Step 6: Final answer
    x = 5,091.55

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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.