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Finding the Fourth Proportional to 9,741.86, 14,603.54 and 3,163.44

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Solution

The fourth proportional to 9,741.86, 14,603.54 and 3,163.44 is: 4,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.86 : 14,603.54 = 3,163.44 : x
  2. Step 2: Convert to fraction form
    9,741.86/14,603.54 = 3,163.44/x
  3. Step 3: Cross multiply
    9,741.86x = 14,603.54 × 3,163.44
  4. Step 4: Simplify right side
    9,741.86x = 46,197,422.58
  5. Step 5: Solve for x
    x = 46,197,422.58/9,741.86
  6. Step 6: Final answer
    x = 4,742.16

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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.