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Finding the Fourth Proportional to 37,643, 56,467.77 and 9,941

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Solution

The fourth proportional to 37,643, 56,467.77 and 9,941 is: 14,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643 : 56,467.77 = 9,941 : x
  2. Step 2: Convert to fraction form
    37,643/56,467.77 = 9,941/x
  3. Step 3: Cross multiply
    37,643x = 56,467.77 × 9,941
  4. Step 4: Simplify right side
    37,643x = 561,346,101.57
  5. Step 5: Solve for x
    x = 561,346,101.57/37,643
  6. Step 6: Final answer
    x = 14,912.36

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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.