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Finding the Fourth Proportional to 9,780.21, 13,499.46 and 8,016.03

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Solution

The fourth proportional to 9,780.21, 13,499.46 and 8,016.03 is: 11,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.21 : 13,499.46 = 8,016.03 : x
  2. Step 2: Convert to fraction form
    9,780.21/13,499.46 = 8,016.03/x
  3. Step 3: Cross multiply
    9,780.21x = 13,499.46 × 8,016.03
  4. Step 4: Simplify right side
    9,780.21x = 108,212,076.34
  5. Step 5: Solve for x
    x = 108,212,076.34/9,780.21
  6. Step 6: Final answer
    x = 11,064.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.