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Finding the Fourth Proportional to 9,523.98, 13,140.05 and 6,169.37

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Solution

The fourth proportional to 9,523.98, 13,140.05 and 6,169.37 is: 8,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.98 : 13,140.05 = 6,169.37 : x
  2. Step 2: Convert to fraction form
    9,523.98/13,140.05 = 6,169.37/x
  3. Step 3: Cross multiply
    9,523.98x = 13,140.05 × 6,169.37
  4. Step 4: Simplify right side
    9,523.98x = 81,065,733.72
  5. Step 5: Solve for x
    x = 81,065,733.72/9,523.98
  6. Step 6: Final answer
    x = 8,511.75

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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.