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Finding the Fourth Proportional to 9,982.29, 14,978.93 and 8,415.03

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Solution

The fourth proportional to 9,982.29, 14,978.93 and 8,415.03 is: 12,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.29 : 14,978.93 = 8,415.03 : x
  2. Step 2: Convert to fraction form
    9,982.29/14,978.93 = 8,415.03/x
  3. Step 3: Cross multiply
    9,982.29x = 14,978.93 × 8,415.03
  4. Step 4: Simplify right side
    9,982.29x = 126,048,103.24
  5. Step 5: Solve for x
    x = 126,048,103.24/9,982.29
  6. Step 6: Final answer
    x = 12,627.17

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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.