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Finding the Fourth Proportional to 9,846.18, 14,745.72 and 5,452.74

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Solution

The fourth proportional to 9,846.18, 14,745.72 and 5,452.74 is: 8,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.18 : 14,745.72 = 5,452.74 : x
  2. Step 2: Convert to fraction form
    9,846.18/14,745.72 = 5,452.74/x
  3. Step 3: Cross multiply
    9,846.18x = 14,745.72 × 5,452.74
  4. Step 4: Simplify right side
    9,846.18x = 80,404,577.27
  5. Step 5: Solve for x
    x = 80,404,577.27/9,846.18
  6. Step 6: Final answer
    x = 8,166.07

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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.