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Finding the Fourth Proportional to 9,730.48, 14,594.14 and 3,489.44

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Solution

The fourth proportional to 9,730.48, 14,594.14 and 3,489.44 is: 5,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.48 : 14,594.14 = 3,489.44 : x
  2. Step 2: Convert to fraction form
    9,730.48/14,594.14 = 3,489.44/x
  3. Step 3: Cross multiply
    9,730.48x = 14,594.14 × 3,489.44
  4. Step 4: Simplify right side
    9,730.48x = 50,925,375.88
  5. Step 5: Solve for x
    x = 50,925,375.88/9,730.48
  6. Step 6: Final answer
    x = 5,233.59

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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.