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Finding the Fourth Proportional to 9,969.84, 14,950.20 and 3,394.26

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Solution

The fourth proportional to 9,969.84, 14,950.20 and 3,394.26 is: 5,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.84 : 14,950.20 = 3,394.26 : x
  2. Step 2: Convert to fraction form
    9,969.84/14,950.20 = 3,394.26/x
  3. Step 3: Cross multiply
    9,969.84x = 14,950.20 × 3,394.26
  4. Step 4: Simplify right side
    9,969.84x = 50,744,865.85
  5. Step 5: Solve for x
    x = 50,744,865.85/9,969.84
  6. Step 6: Final answer
    x = 5,089.84

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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.