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Finding the Fourth Proportional to 9,805.44, 13,533.85 and 6,031.05

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Solution

The fourth proportional to 9,805.44, 13,533.85 and 6,031.05 is: 8,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.44 : 13,533.85 = 6,031.05 : x
  2. Step 2: Convert to fraction form
    9,805.44/13,533.85 = 6,031.05/x
  3. Step 3: Cross multiply
    9,805.44x = 13,533.85 × 6,031.05
  4. Step 4: Simplify right side
    9,805.44x = 81,623,326.04
  5. Step 5: Solve for x
    x = 81,623,326.04/9,805.44
  6. Step 6: Final answer
    x = 8,324.29

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