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Finding the Fourth Proportional to 9,754.80, 14,631.12 and 2,829.30

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Solution

The fourth proportional to 9,754.80, 14,631.12 and 2,829.30 is: 4,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.80 : 14,631.12 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    9,754.80/14,631.12 = 2,829.30/x
  3. Step 3: Cross multiply
    9,754.80x = 14,631.12 × 2,829.30
  4. Step 4: Simplify right side
    9,754.80x = 41,395,827.82
  5. Step 5: Solve for x
    x = 41,395,827.82/9,754.80
  6. Step 6: Final answer
    x = 4,243.64

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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.