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Finding the Fourth Proportional to 9,745.12, 13,448.21 and 5,268.88

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Solution

The fourth proportional to 9,745.12, 13,448.21 and 5,268.88 is: 7,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.12 : 13,448.21 = 5,268.88 : x
  2. Step 2: Convert to fraction form
    9,745.12/13,448.21 = 5,268.88/x
  3. Step 3: Cross multiply
    9,745.12x = 13,448.21 × 5,268.88
  4. Step 4: Simplify right side
    9,745.12x = 70,856,978.36
  5. Step 5: Solve for x
    x = 70,856,978.36/9,745.12
  6. Step 6: Final answer
    x = 7,271.02

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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.