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Finding the Fourth Proportional to 9,542.98, 14,298.66 and 6,755.86

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Solution

The fourth proportional to 9,542.98, 14,298.66 and 6,755.86 is: 10,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.98 : 14,298.66 = 6,755.86 : x
  2. Step 2: Convert to fraction form
    9,542.98/14,298.66 = 6,755.86/x
  3. Step 3: Cross multiply
    9,542.98x = 14,298.66 × 6,755.86
  4. Step 4: Simplify right side
    9,542.98x = 96,599,745.15
  5. Step 5: Solve for x
    x = 96,599,745.15/9,542.98
  6. Step 6: Final answer
    x = 10,122.60

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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.