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Finding the Fourth Proportional to 9,745.58, 14,610.17 and 3,899.00

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Solution

The fourth proportional to 9,745.58, 14,610.17 and 3,899.00 is: 5,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.58 : 14,610.17 = 3,899.00 : x
  2. Step 2: Convert to fraction form
    9,745.58/14,610.17 = 3,899.00/x
  3. Step 3: Cross multiply
    9,745.58x = 14,610.17 × 3,899.00
  4. Step 4: Simplify right side
    9,745.58x = 56,965,099.10
  5. Step 5: Solve for x
    x = 56,965,099.10/9,745.58
  6. Step 6: Final answer
    x = 5,845.22

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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.