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Finding the Fourth Proportional to 9,382.98, 14,076.45 and 3,539.46

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Solution

The fourth proportional to 9,382.98, 14,076.45 and 3,539.46 is: 5,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.98 : 14,076.45 = 3,539.46 : x
  2. Step 2: Convert to fraction form
    9,382.98/14,076.45 = 3,539.46/x
  3. Step 3: Cross multiply
    9,382.98x = 14,076.45 × 3,539.46
  4. Step 4: Simplify right side
    9,382.98x = 49,823,031.72
  5. Step 5: Solve for x
    x = 49,823,031.72/9,382.98
  6. Step 6: Final answer
    x = 5,309.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.