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Finding the Fourth Proportional to 9,857.66, 14,784.24 and 2,837.58

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Solution

The fourth proportional to 9,857.66, 14,784.24 and 2,837.58 is: 4,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.66 : 14,784.24 = 2,837.58 : x
  2. Step 2: Convert to fraction form
    9,857.66/14,784.24 = 2,837.58/x
  3. Step 3: Cross multiply
    9,857.66x = 14,784.24 × 2,837.58
  4. Step 4: Simplify right side
    9,857.66x = 41,951,463.74
  5. Step 5: Solve for x
    x = 41,951,463.74/9,857.66
  6. Step 6: Final answer
    x = 4,255.72

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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.