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Finding the Fourth Proportional to 37,714.32, 56,573.37 and 9,634.59

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Solution

The fourth proportional to 37,714.32, 56,573.37 and 9,634.59 is: 14,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,714.32 : 56,573.37 = 9,634.59 : x
  2. Step 2: Convert to fraction form
    37,714.32/56,573.37 = 9,634.59/x
  3. Step 3: Cross multiply
    37,714.32x = 56,573.37 × 9,634.59
  4. Step 4: Simplify right side
    37,714.32x = 545,061,224.87
  5. Step 5: Solve for x
    x = 545,061,224.87/37,714.32
  6. Step 6: Final answer
    x = 14,452.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.