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Finding the Fourth Proportional to 9,745.26, 13,442.90 and 5,765.72

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Solution

The fourth proportional to 9,745.26, 13,442.90 and 5,765.72 is: 7,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.26 : 13,442.90 = 5,765.72 : x
  2. Step 2: Convert to fraction form
    9,745.26/13,442.90 = 5,765.72/x
  3. Step 3: Cross multiply
    9,745.26x = 13,442.90 × 5,765.72
  4. Step 4: Simplify right side
    9,745.26x = 77,507,997.39
  5. Step 5: Solve for x
    x = 77,507,997.39/9,745.26
  6. Step 6: Final answer
    x = 7,953.40

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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.