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Finding the Fourth Proportional to 9,753.80, 14,629.62 and 2,828.30

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Solution

The fourth proportional to 9,753.80, 14,629.62 and 2,828.30 is: 4,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.80 : 14,629.62 = 2,828.30 : x
  2. Step 2: Convert to fraction form
    9,753.80/14,629.62 = 2,828.30/x
  3. Step 3: Cross multiply
    9,753.80x = 14,629.62 × 2,828.30
  4. Step 4: Simplify right side
    9,753.80x = 41,376,954.25
  5. Step 5: Solve for x
    x = 41,376,954.25/9,753.80
  6. Step 6: Final answer
    x = 4,242.14

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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.