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Finding the Fourth Proportional to 9,745.53, 13,446.86 and 5,767.22

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Solution

The fourth proportional to 9,745.53, 13,446.86 and 5,767.22 is: 7,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.53 : 13,446.86 = 5,767.22 : x
  2. Step 2: Convert to fraction form
    9,745.53/13,446.86 = 5,767.22/x
  3. Step 3: Cross multiply
    9,745.53x = 13,446.86 × 5,767.22
  4. Step 4: Simplify right side
    9,745.53x = 77,550,903.86
  5. Step 5: Solve for x
    x = 77,550,903.86/9,745.53
  6. Step 6: Final answer
    x = 7,957.59

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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.