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Finding the Fourth Proportional to 8,629.38, 12,946.38 and 4,678.92

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Solution

The fourth proportional to 8,629.38, 12,946.38 and 4,678.92 is: 7,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.38 : 12,946.38 = 4,678.92 : x
  2. Step 2: Convert to fraction form
    8,629.38/12,946.38 = 4,678.92/x
  3. Step 3: Cross multiply
    8,629.38x = 12,946.38 × 4,678.92
  4. Step 4: Simplify right side
    8,629.38x = 60,575,076.31
  5. Step 5: Solve for x
    x = 60,575,076.31/8,629.38
  6. Step 6: Final answer
    x = 7,019.63

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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.