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Finding the Fourth Proportional to 6,469.40, 9,698.36 and 3,830.42

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Solution

The fourth proportional to 6,469.40, 9,698.36 and 3,830.42 is: 5,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.40 : 9,698.36 = 3,830.42 : x
  2. Step 2: Convert to fraction form
    6,469.40/9,698.36 = 3,830.42/x
  3. Step 3: Cross multiply
    6,469.40x = 9,698.36 × 3,830.42
  4. Step 4: Simplify right side
    6,469.40x = 37,148,724.47
  5. Step 5: Solve for x
    x = 37,148,724.47/6,469.40
  6. Step 6: Final answer
    x = 5,742.23

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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.