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Finding the Fourth Proportional to 9,830.44, 14,745.68 and 3,254.86

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Solution

The fourth proportional to 9,830.44, 14,745.68 and 3,254.86 is: 4,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.44 : 14,745.68 = 3,254.86 : x
  2. Step 2: Convert to fraction form
    9,830.44/14,745.68 = 3,254.86/x
  3. Step 3: Cross multiply
    9,830.44x = 14,745.68 × 3,254.86
  4. Step 4: Simplify right side
    9,830.44x = 47,995,034.00
  5. Step 5: Solve for x
    x = 47,995,034.00/9,830.44
  6. Step 6: Final answer
    x = 4,882.29

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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.