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Finding the Fourth Proportional to 37,794.38, 56,687.96 and 9,713.58

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Solution

The fourth proportional to 37,794.38, 56,687.96 and 9,713.58 is: 14,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,794.38 : 56,687.96 = 9,713.58 : x
  2. Step 2: Convert to fraction form
    37,794.38/56,687.96 = 9,713.58/x
  3. Step 3: Cross multiply
    37,794.38x = 56,687.96 × 9,713.58
  4. Step 4: Simplify right side
    37,794.38x = 550,643,034.50
  5. Step 5: Solve for x
    x = 550,643,034.50/37,794.38
  6. Step 6: Final answer
    x = 14,569.44

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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.