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Finding the Fourth Proportional to 9,794.75, 14,693.63 and 3,219.39

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Solution

The fourth proportional to 9,794.75, 14,693.63 and 3,219.39 is: 4,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.75 : 14,693.63 = 3,219.39 : x
  2. Step 2: Convert to fraction form
    9,794.75/14,693.63 = 3,219.39/x
  3. Step 3: Cross multiply
    9,794.75x = 14,693.63 × 3,219.39
  4. Step 4: Simplify right side
    9,794.75x = 47,304,509.39
  5. Step 5: Solve for x
    x = 47,304,509.39/9,794.75
  6. Step 6: Final answer
    x = 4,829.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.