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Finding the Fourth Proportional to 9,509.49, 14,265.05 and 2,489.47

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Solution

The fourth proportional to 9,509.49, 14,265.05 and 2,489.47 is: 3,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.49 : 14,265.05 = 2,489.47 : x
  2. Step 2: Convert to fraction form
    9,509.49/14,265.05 = 2,489.47/x
  3. Step 3: Cross multiply
    9,509.49x = 14,265.05 × 2,489.47
  4. Step 4: Simplify right side
    9,509.49x = 35,512,401.58
  5. Step 5: Solve for x
    x = 35,512,401.58/9,509.49
  6. Step 6: Final answer
    x = 3,734.42

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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.