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Finding the Fourth Proportional to 6,329.90, 9,494.50 and 1,946.79

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Solution

The fourth proportional to 6,329.90, 9,494.50 and 1,946.79 is: 2,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.90 : 9,494.50 = 1,946.79 : x
  2. Step 2: Convert to fraction form
    6,329.90/9,494.50 = 1,946.79/x
  3. Step 3: Cross multiply
    6,329.90x = 9,494.50 × 1,946.79
  4. Step 4: Simplify right side
    6,329.90x = 18,483,797.66
  5. Step 5: Solve for x
    x = 18,483,797.66/6,329.90
  6. Step 6: Final answer
    x = 2,920.08

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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.