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Finding the Fourth Proportional to 37,891.77, 56,837.85 and 9,809.86

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Solution

The fourth proportional to 37,891.77, 56,837.85 and 9,809.86 is: 14,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,891.77 : 56,837.85 = 9,809.86 : x
  2. Step 2: Convert to fraction form
    37,891.77/56,837.85 = 9,809.86/x
  3. Step 3: Cross multiply
    37,891.77x = 56,837.85 × 9,809.86
  4. Step 4: Simplify right side
    37,891.77x = 557,571,184.58
  5. Step 5: Solve for x
    x = 557,571,184.58/37,891.77
  6. Step 6: Final answer
    x = 14,714.84

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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.