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Finding the Fourth Proportional to 9,808.28, 14,712.28 and 2,412.96

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Solution

The fourth proportional to 9,808.28, 14,712.28 and 2,412.96 is: 3,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.28 : 14,712.28 = 2,412.96 : x
  2. Step 2: Convert to fraction form
    9,808.28/14,712.28 = 2,412.96/x
  3. Step 3: Cross multiply
    9,808.28x = 14,712.28 × 2,412.96
  4. Step 4: Simplify right side
    9,808.28x = 35,500,143.15
  5. Step 5: Solve for x
    x = 35,500,143.15/9,808.28
  6. Step 6: Final answer
    x = 3,619.41

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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.