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Finding the Fourth Proportional to 37,946.43, 56,918.50 and 9,865.87

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Solution

The fourth proportional to 37,946.43, 56,918.50 and 9,865.87 is: 14,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,946.43 : 56,918.50 = 9,865.87 : x
  2. Step 2: Convert to fraction form
    37,946.43/56,918.50 = 9,865.87/x
  3. Step 3: Cross multiply
    37,946.43x = 56,918.50 × 9,865.87
  4. Step 4: Simplify right side
    37,946.43x = 561,550,329.97
  5. Step 5: Solve for x
    x = 561,550,329.97/37,946.43
  6. Step 6: Final answer
    x = 14,798.50

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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.