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Finding the Fourth Proportional to 9,753.66, 14,629.20 and 3,905.88

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Solution

The fourth proportional to 9,753.66, 14,629.20 and 3,905.88 is: 5,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.66 : 14,629.20 = 3,905.88 : x
  2. Step 2: Convert to fraction form
    9,753.66/14,629.20 = 3,905.88/x
  3. Step 3: Cross multiply
    9,753.66x = 14,629.20 × 3,905.88
  4. Step 4: Simplify right side
    9,753.66x = 57,139,899.70
  5. Step 5: Solve for x
    x = 57,139,899.70/9,753.66
  6. Step 6: Final answer
    x = 5,858.30

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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.