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Finding the Fourth Proportional to 37,694.01, 56,541.46 and 9,614.01

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Solution

The fourth proportional to 37,694.01, 56,541.46 and 9,614.01 is: 14,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,694.01 : 56,541.46 = 9,614.01 : x
  2. Step 2: Convert to fraction form
    37,694.01/56,541.46 = 9,614.01/x
  3. Step 3: Cross multiply
    37,694.01x = 56,541.46 × 9,614.01
  4. Step 4: Simplify right side
    37,694.01x = 543,590,367.88
  5. Step 5: Solve for x
    x = 543,590,367.88/37,694.01
  6. Step 6: Final answer
    x = 14,421.13

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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.