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Finding the Fourth Proportional to 9,741.93, 14,603.64 and 3,163.51

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Solution

The fourth proportional to 9,741.93, 14,603.64 and 3,163.51 is: 4,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.93 : 14,603.64 = 3,163.51 : x
  2. Step 2: Convert to fraction form
    9,741.93/14,603.64 = 3,163.51/x
  3. Step 3: Cross multiply
    9,741.93x = 14,603.64 × 3,163.51
  4. Step 4: Simplify right side
    9,741.93x = 46,198,761.18
  5. Step 5: Solve for x
    x = 46,198,761.18/9,741.93
  6. Step 6: Final answer
    x = 4,742.26

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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.